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Finding the Fourth Proportional to 9,432.68, 14,151.90 and 5,965.16

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Solution

The fourth proportional to 9,432.68, 14,151.90 and 5,965.16 is: 8,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.68 : 14,151.90 = 5,965.16 : x
  2. Step 2: Convert to fraction form
    9,432.68/14,151.90 = 5,965.16/x
  3. Step 3: Cross multiply
    9,432.68x = 14,151.90 × 5,965.16
  4. Step 4: Simplify right side
    9,432.68x = 84,418,347.80
  5. Step 5: Solve for x
    x = 84,418,347.80/9,432.68
  6. Step 6: Final answer
    x = 8,949.56

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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.