The proportional relationship 15.24 centimeters in 6 inches is represented by 6y=15.24x

To solve for the number of centimeters in 1 inch based on the proportional relationship given, we start with the equation:

\[ 6y = 15.24x \]

Here, \( y \) is the number of centimeters per inch, and \( x \) is the number of inches. If we want to find out how many centimeters there are per 1 inch, we can plug in \( x = 1 \):

\[ 6y = 15.24(1) \]

This simplifies to:

\[ 6y = 15.24 \]

Now, divide both sides by 6 to solve for \( y \):

\[ y = \frac{15.24}{6} \]

Calculating this gives:

\[ y = 2.54 \text{ centimeters} \]

Thus, the number of centimeters in 1 inch is:

2.54 centimeters