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Finding the Fourth Proportional to 7,138.50, 9,851.18 and 3,951.70

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Solution

The fourth proportional to 7,138.50, 9,851.18 and 3,951.70 is: 5,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.50 : 9,851.18 = 3,951.70 : x
  2. Step 2: Convert to fraction form
    7,138.50/9,851.18 = 3,951.70/x
  3. Step 3: Cross multiply
    7,138.50x = 9,851.18 × 3,951.70
  4. Step 4: Simplify right side
    7,138.50x = 38,928,863.62
  5. Step 5: Solve for x
    x = 38,928,863.62/7,138.50
  6. Step 6: Final answer
    x = 5,453.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.