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Finding the Fourth Proportional to 6,171.26, 9,251.21 and 2,471.18

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Solution

The fourth proportional to 6,171.26, 9,251.21 and 2,471.18 is: 3,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.26 : 9,251.21 = 2,471.18 : x
  2. Step 2: Convert to fraction form
    6,171.26/9,251.21 = 2,471.18/x
  3. Step 3: Cross multiply
    6,171.26x = 9,251.21 × 2,471.18
  4. Step 4: Simplify right side
    6,171.26x = 22,861,365.05
  5. Step 5: Solve for x
    x = 22,861,365.05/6,171.26
  6. Step 6: Final answer
    x = 3,704.49

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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.