Answer:

Explanation:
So, we have two similar figures.
Remember that corresponding sides of similar figures are proportional.
So, we can write the following proportion:

9 corresponds to the 4. And 15 corresponds to the x.
Note that we write the lengths of the bigger figure in the numerator, and the lengths of the smaller figure in the denominator. This keeps things consistent!
Now, we just have to solve for x. Cross-multiply:

Divide both sides by 9:

Reduce by 3:

So, the value of x is 20/3, or approximately 6.67.
And we're done!