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Finding the Fourth Proportional to 6,471.44, 9,691.22 and 3,691.24

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Solution

The fourth proportional to 6,471.44, 9,691.22 and 3,691.24 is: 5,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.44 : 9,691.22 = 3,691.24 : x
  2. Step 2: Convert to fraction form
    6,471.44/9,691.22 = 3,691.24/x
  3. Step 3: Cross multiply
    6,471.44x = 9,691.22 × 3,691.24
  4. Step 4: Simplify right side
    6,471.44x = 35,772,618.91
  5. Step 5: Solve for x
    x = 35,772,618.91/6,471.44
  6. Step 6: Final answer
    x = 5,527.77

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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.