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Finding the Fourth Proportional to 6,118, 9,177 and 2,472.56

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Solution

The fourth proportional to 6,118, 9,177 and 2,472.56 is: 3,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118 : 9,177 = 2,472.56 : x
  2. Step 2: Convert to fraction form
    6,118/9,177 = 2,472.56/x
  3. Step 3: Cross multiply
    6,118x = 9,177 × 2,472.56
  4. Step 4: Simplify right side
    6,118x = 22,690,683.12
  5. Step 5: Solve for x
    x = 22,690,683.12/6,118
  6. Step 6: Final answer
    x = 3,708.84

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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.