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Finding the Fourth Proportional to 10,523.20, 14,524 and 6,545.92

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Solution

The fourth proportional to 10,523.20, 14,524 and 6,545.92 is: 9,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.20 : 14,524 = 6,545.92 : x
  2. Step 2: Convert to fraction form
    10,523.20/14,524 = 6,545.92/x
  3. Step 3: Cross multiply
    10,523.20x = 14,524 × 6,545.92
  4. Step 4: Simplify right side
    10,523.20x = 95,072,942.08
  5. Step 5: Solve for x
    x = 95,072,942.08/10,523.20
  6. Step 6: Final answer
    x = 9,034.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.