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Finding the Fourth Proportional to 9,198.92, 13,793.25 and 5,452.22

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Solution

The fourth proportional to 9,198.92, 13,793.25 and 5,452.22 is: 8,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.92 : 13,793.25 = 5,452.22 : x
  2. Step 2: Convert to fraction form
    9,198.92/13,793.25 = 5,452.22/x
  3. Step 3: Cross multiply
    9,198.92x = 13,793.25 × 5,452.22
  4. Step 4: Simplify right side
    9,198.92x = 75,203,833.52
  5. Step 5: Solve for x
    x = 75,203,833.52/9,198.92
  6. Step 6: Final answer
    x = 8,175.29

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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.