Cocos (Keeling) Islands is about 7,350 times smaller than Kentucky.

Kentucky is approximately 102,896 sq km, while Cocos (Keeling) Islands is approximately 14 sq km, making Cocos (Keeling) Islands 0.01% the size of Kentucky. Meanwhile, the population of Kentucky is ~4.3 million people (4.3 million fewer people live in Cocos (Keeling) Islands).
Tip: This to-scale comparison of Kentucky vs. Cocos (Keeling) Islands uses the Mercator projection, which distorts the size of regions near the poles.