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Finding the Fourth Proportional to 9,174.38, 13,761.58 and 3,331

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Solution

The fourth proportional to 9,174.38, 13,761.58 and 3,331 is: 4,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.38 : 13,761.58 = 3,331 : x
  2. Step 2: Convert to fraction form
    9,174.38/13,761.58 = 3,331/x
  3. Step 3: Cross multiply
    9,174.38x = 13,761.58 × 3,331
  4. Step 4: Simplify right side
    9,174.38x = 45,839,822.98
  5. Step 5: Solve for x
    x = 45,839,822.98/9,174.38
  6. Step 6: Final answer
    x = 4,996.50

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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.