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Finding the Fourth Proportional to 7,691.31, 10,614.87 and 4,334.22

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Solution

The fourth proportional to 7,691.31, 10,614.87 and 4,334.22 is: 5,981.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.31 : 10,614.87 = 4,334.22 : x
  2. Step 2: Convert to fraction form
    7,691.31/10,614.87 = 4,334.22/x
  3. Step 3: Cross multiply
    7,691.31x = 10,614.87 × 4,334.22
  4. Step 4: Simplify right side
    7,691.31x = 46,007,181.85
  5. Step 5: Solve for x
    x = 46,007,181.85/7,691.31
  6. Step 6: Final answer
    x = 5,981.71

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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.