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Finding the Fourth Proportional to 7,138.38, 9,850.74 and 3,951.78

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Solution

The fourth proportional to 7,138.38, 9,850.74 and 3,951.78 is: 5,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.38 : 9,850.74 = 3,951.78 : x
  2. Step 2: Convert to fraction form
    7,138.38/9,850.74 = 3,951.78/x
  3. Step 3: Cross multiply
    7,138.38x = 9,850.74 × 3,951.78
  4. Step 4: Simplify right side
    7,138.38x = 38,927,957.32
  5. Step 5: Solve for x
    x = 38,927,957.32/7,138.38
  6. Step 6: Final answer
    x = 5,453.33

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1.5x scale

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.