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Finding the Fourth Proportional to 6,201.76, 9,286.08 and 5,217.61

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Solution

The fourth proportional to 6,201.76, 9,286.08 and 5,217.61 is: 7,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.76 : 9,286.08 = 5,217.61 : x
  2. Step 2: Convert to fraction form
    6,201.76/9,286.08 = 5,217.61/x
  3. Step 3: Cross multiply
    6,201.76x = 9,286.08 × 5,217.61
  4. Step 4: Simplify right side
    6,201.76x = 48,451,143.87
  5. Step 5: Solve for x
    x = 48,451,143.87/6,201.76
  6. Step 6: Final answer
    x = 7,812.48

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1.5x scale

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.