To find the number of centimeters in 1 inch from the equation \(6y = 15.24x\), we can first isolate \(y\) by dividing both sides of the equation by 6:
\[ y = \frac{15.24}{6}x \]
Now, we can calculate \(\frac{15.24}{6}\):
\[ \frac{15.24}{6} = 2.54 \]
This means that:
\[ y = 2.54x \]
This equation states that \(y\) (the number of centimeters) is equal to \(2.54\) times \(x\) (the number of inches). Therefore, there are 2.54 centimeters in 1 inch.