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Finding the Fourth Proportional to 6,167.23, 9,251.42 and 1,724.89

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Solution

The fourth proportional to 6,167.23, 9,251.42 and 1,724.89 is: 2,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.23 : 9,251.42 = 1,724.89 : x
  2. Step 2: Convert to fraction form
    6,167.23/9,251.42 = 1,724.89/x
  3. Step 3: Cross multiply
    6,167.23x = 9,251.42 × 1,724.89
  4. Step 4: Simplify right side
    6,167.23x = 15,957,697.72
  5. Step 5: Solve for x
    x = 15,957,697.72/6,167.23
  6. Step 6: Final answer
    x = 2,587.50

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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.