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Finding the Fourth Proportional to 3,143.86, 4,716.26 and 952.26

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Solution

The fourth proportional to 3,143.86, 4,716.26 and 952.26 is: 1,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.86 : 4,716.26 = 952.26 : x
  2. Step 2: Convert to fraction form
    3,143.86/4,716.26 = 952.26/x
  3. Step 3: Cross multiply
    3,143.86x = 4,716.26 × 952.26
  4. Step 4: Simplify right side
    3,143.86x = 4,491,105.75
  5. Step 5: Solve for x
    x = 4,491,105.75/3,143.86
  6. Step 6: Final answer
    x = 1,428.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.