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Finding the Fourth Proportional to 7,391.57, 10,202.07 and 4,874.13

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Solution

The fourth proportional to 7,391.57, 10,202.07 and 4,874.13 is: 6,727.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.57 : 10,202.07 = 4,874.13 : x
  2. Step 2: Convert to fraction form
    7,391.57/10,202.07 = 4,874.13/x
  3. Step 3: Cross multiply
    7,391.57x = 10,202.07 × 4,874.13
  4. Step 4: Simplify right side
    7,391.57x = 49,726,215.45
  5. Step 5: Solve for x
    x = 49,726,215.45/7,391.57
  6. Step 6: Final answer
    x = 6,727.43

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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.