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Finding the Fourth Proportional to 8,691.82, 11,996.86 and 5,711.70

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Solution

The fourth proportional to 8,691.82, 11,996.86 and 5,711.70 is: 7,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.82 : 11,996.86 = 5,711.70 : x
  2. Step 2: Convert to fraction form
    8,691.82/11,996.86 = 5,711.70/x
  3. Step 3: Cross multiply
    8,691.82x = 11,996.86 × 5,711.70
  4. Step 4: Simplify right side
    8,691.82x = 68,522,465.26
  5. Step 5: Solve for x
    x = 68,522,465.26/8,691.82
  6. Step 6: Final answer
    x = 7,883.56

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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.