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The phrase "a dramatically higher rate" is correct and usable in written English.
It can be used when discussing a significant increase in a particular measurement or statistic, often in contexts like finance, health, or social issues.
Example: "The study revealed a dramatically higher rate of obesity among children in urban areas compared to rural ones."
Alternatives: "a significantly increased rate" or "a substantially higher rate."
Exact(1)
The materials were analysed by high-resolution EBSD orientation mapping, which revealed that grain refinement occurred at a dramatically higher rate in the particle-containing alloy.
Similar(59)
Chicago's police department has swung from a dramatically high rate of investigative stops to a dramatically low one.
The higher incidence of Hafnia alvei isolation observed among females as compared to males was largely due the dramatically higher rate of urinary foci seen among females (Table 1).
Couples who decide to marry in their teens have a dramatically higher divorce rate then couples that wait tell age 21 and over.
Quantitative genetic analyses traditionally interpret such a dramatically higher concordance rate in MZ twins compared to DZ twins as indicating the contribution of a large non-additive genetic effect to XCI patterns [11].
KS shows a dramatically higher incidence rate in transplant recipients compared with the general population with an SIR over 100.
But African Americans, particularly young African American men, still face dramatically higher rates of gun violence than white Americans do.
A study by Jennifer Glass and coauthors in 2013 found that women leave STEM fields at dramatically higher rates than women in other occupations.
There's a good chance that President Obama and Congress will block the scheduled tax increase on Americans who earn less than $200,000, but wealthier taxpayers face dramatically higher rates.
The loss of the glaciers portends dramatically higher rates of malaria and worrisome effects on local economies, the researchers warn.
They are also disproportionately vulnerable to understudied conditions such as fibroids and autoimmune diseases such as lupus at dramatically higher rates than women of other races and ethnicities.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com