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Finding the Fourth Proportional to 7,691.76, 10,614.62 and 4,154.97

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Solution

The fourth proportional to 7,691.76, 10,614.62 and 4,154.97 is: 5,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.76 : 10,614.62 = 4,154.97 : x
  2. Step 2: Convert to fraction form
    7,691.76/10,614.62 = 4,154.97/x
  3. Step 3: Cross multiply
    7,691.76x = 10,614.62 × 4,154.97
  4. Step 4: Simplify right side
    7,691.76x = 44,103,427.66
  5. Step 5: Solve for x
    x = 44,103,427.66/7,691.76
  6. Step 6: Final answer
    x = 5,733.85

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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.