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://img.qammunity.org/2016/formulas/mathematics/middle-school/l1d73frk1e6dfjn8e3t211ztlkfhn65zme.png)
When y = 6 and x = 24, we get

Therefore, when y = 7, we get

Thus, the required value of x is 28.