In the figure below, is similar to . What is the length of ? Enter only the number.
Since is similar to , we can write the following proportion:
$\frac{AB}{DE} = \frac{BC}{EF}$
Plugging in the given lengths, we have:
$\frac{6}{x} = \frac{8}{2}$
Cross-multiplying gives:
$8x = 12$
Dividing both sides by 8 gives:
$x = \boxed{\frac{3}{2}}$