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Finding the Fourth Proportional to 10,697.92, 16,046.80 and 5,769.88

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Solution

The fourth proportional to 10,697.92, 16,046.80 and 5,769.88 is: 8,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.92 : 16,046.80 = 5,769.88 : x
  2. Step 2: Convert to fraction form
    10,697.92/16,046.80 = 5,769.88/x
  3. Step 3: Cross multiply
    10,697.92x = 16,046.80 × 5,769.88
  4. Step 4: Simplify right side
    10,697.92x = 92,588,110.38
  5. Step 5: Solve for x
    x = 92,588,110.38/10,697.92
  6. Step 6: Final answer
    x = 8,654.78

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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.