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Finding the Fourth Proportional to 11,500.77, 17,253.05 and 5,657.97

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Solution

The fourth proportional to 11,500.77, 17,253.05 and 5,657.97 is: 8,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.77 : 17,253.05 = 5,657.97 : x
  2. Step 2: Convert to fraction form
    11,500.77/17,253.05 = 5,657.97/x
  3. Step 3: Cross multiply
    11,500.77x = 17,253.05 × 5,657.97
  4. Step 4: Simplify right side
    11,500.77x = 97,617,211.02
  5. Step 5: Solve for x
    x = 97,617,211.02/11,500.77
  6. Step 6: Final answer
    x = 8,487.88

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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.