Answer: The required value of x is 28.
Step-by-step explanation: Given that y = 6 when x = 24.
We are to find the value of x when y = 7.
Since x and y are directly related, so we have
![x\propto y\\\\\Rightarrow x=ky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{where k is the constant of proportionality}].](https://tex.z-dn.net/?f=x%5Cpropto%20y%5C%5C%5C%5C%5CRightarrow%20x%3Dky~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bwhere%20k%20is%20the%20constant%20of%20proportionality%7D%5D.)
When y = 6 and x = 24, we get

Therefore, when y = 7, we get

Thus, the required value of x is 28.