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Finding the Fourth Proportional to 6,213.38, 9,309.14 and 5,843.42

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Solution

The fourth proportional to 6,213.38, 9,309.14 and 5,843.42 is: 8,754.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.38 : 9,309.14 = 5,843.42 : x
  2. Step 2: Convert to fraction form
    6,213.38/9,309.14 = 5,843.42/x
  3. Step 3: Cross multiply
    6,213.38x = 9,309.14 × 5,843.42
  4. Step 4: Simplify right side
    6,213.38x = 54,397,214.86
  5. Step 5: Solve for x
    x = 54,397,214.86/6,213.38
  6. Step 6: Final answer
    x = 8,754.85

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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.