To find the value of x in the proportion x/15 = 4x/2 = 35, we can start by breaking down the equation into manageable parts.
The given proportion can be simplified as follows:
1. **Set up the equations:**
First, we can set up two separate equations from the proportion. According to the proportion:
- From the first part, x/15 = 35
- From the second part, 4x/2 = 35
2. **Solve for x from the first equation:**
To isolate x in the first equation, multiply both sides by 15:
x = 35 * 15
This gives us:
x = 525
3. **Solve for x from the second equation:**
For the second equation, first simplify 4x/2 which is equal to 2x:
2x = 35
Now, multiply both sides by 1/2 to get x:
x = 35 / 2
This gives:
x = 17.5
4. **Final Verification:**
Now we have two values from the equations: x = 525 and x = 17.5. Since both parts of the proportion must hold true simultaneously, it is essential to check which value fits the original proportion.
By examining both derived values in relation to each part of the proportion, we can find the common solution that satisfies the entire proportion setup.
Thus, both calculations yield different results based on the interpretation of the proportions, and the final accepted value may largely depend on the context of the equation. However, in standard proportion applications, reviewing both settings can offer insights or a need for re-evaluating the setup.
Please ensure to check the problem constraints, as this confusion typically arises from different ratio interpretations. In summary, x taking values of either 525 or 17.5 requires further context to determine its final significance.