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Finding the Fourth Proportional to 8,149.80, 12,197.70 and 5,922.30

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Solution

The fourth proportional to 8,149.80, 12,197.70 and 5,922.30 is: 8,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.80 : 12,197.70 = 5,922.30 : x
  2. Step 2: Convert to fraction form
    8,149.80/12,197.70 = 5,922.30/x
  3. Step 3: Cross multiply
    8,149.80x = 12,197.70 × 5,922.30
  4. Step 4: Simplify right side
    8,149.80x = 72,238,438.71
  5. Step 5: Solve for x
    x = 72,238,438.71/8,149.80
  6. Step 6: Final answer
    x = 8,863.83

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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.