A photograph that is 4" by 6" is to be enlarged so that the width of the new photograph is 10". What is the length of the new photograph?

Cross multiply and solve for x.

4/6 = 10/x

To find the length of the new photograph, you can use the ratio of the width and length of the original photograph.

The original photograph has a width of 4" and a length of 6".

The ratio of the width to the length is 4:6, which can be simplified to 2:3.

If the width of the new photograph is 10", you can use the ratio to find the length.

Using the ratio, the length of the new photograph would be (3/2) * 10 = 15 inches.

Therefore, the length of the new photograph is 15 inches.

To find the length of the new photograph, we can set up a proportion using the dimensions of the original photograph and the dimensions of the enlarged photograph.

Let's denote the length of the new photograph as L'.

We know that the original photograph is 4 inches by 6 inches, so the proportion can be set up as follows:

4 inches / 6 inches = L' / 10 inches

To solve for L', we can cross-multiply and solve for L':

4 inches * 10 inches = 6 inches * L'

40 inches = 6 inches * L'

Divide both sides by 6 inches to isolate L':

40 inches / 6 inches = L'

L' ≈ 6.67 inches

So, the length of the new photograph is approximately 6.67 inches.