Fort Lauderdale is about 3,492 times smaller than New Mexico.

New Mexico is approximately 314,310 sq km, while Fort Lauderdale (excluding the city's 9.9 sq km of water area) is approximately 90 sq km, making Fort Lauderdale 0.03% the size of New Mexico.
Tip: This to-scale comparison of New Mexico vs. Fort Lauderdale uses the Mercator projection, which distorts the size of regions near the poles.