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Finding the Fourth Proportional to 8,309.10, 12,463.65 and 8,163.30

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Solution

The fourth proportional to 8,309.10, 12,463.65 and 8,163.30 is: 12,244.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.10 : 12,463.65 = 8,163.30 : x
  2. Step 2: Convert to fraction form
    8,309.10/12,463.65 = 8,163.30/x
  3. Step 3: Cross multiply
    8,309.10x = 12,463.65 × 8,163.30
  4. Step 4: Simplify right side
    8,309.10x = 101,744,514.05
  5. Step 5: Solve for x
    x = 101,744,514.05/8,309.10
  6. Step 6: Final answer
    x = 12,244.95

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Half scale
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Similar ratio
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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.