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Finding the Fourth Proportional to 8,165.80, 12,229.50 and 3,992.80

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Solution

The fourth proportional to 8,165.80, 12,229.50 and 3,992.80 is: 5,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.80 : 12,229.50 = 3,992.80 : x
  2. Step 2: Convert to fraction form
    8,165.80/12,229.50 = 3,992.80/x
  3. Step 3: Cross multiply
    8,165.80x = 12,229.50 × 3,992.80
  4. Step 4: Simplify right side
    8,165.80x = 48,829,947.60
  5. Step 5: Solve for x
    x = 48,829,947.60/8,165.80
  6. Step 6: Final answer
    x = 5,979.81

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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.