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Finding the Fourth Proportional to 10,691.70, 16,041.24 and 9,474.30

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Solution

The fourth proportional to 10,691.70, 16,041.24 and 9,474.30 is: 14,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.70 : 16,041.24 = 9,474.30 : x
  2. Step 2: Convert to fraction form
    10,691.70/16,041.24 = 9,474.30/x
  3. Step 3: Cross multiply
    10,691.70x = 16,041.24 × 9,474.30
  4. Step 4: Simplify right side
    10,691.70x = 151,979,520.13
  5. Step 5: Solve for x
    x = 151,979,520.13/10,691.70
  6. Step 6: Final answer
    x = 14,214.72

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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.