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Finding the Fourth Proportional to 8,229.12, 12,314.97 and 6,731.03

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Solution

The fourth proportional to 8,229.12, 12,314.97 and 6,731.03 is: 10,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.12 : 12,314.97 = 6,731.03 : x
  2. Step 2: Convert to fraction form
    8,229.12/12,314.97 = 6,731.03/x
  3. Step 3: Cross multiply
    8,229.12x = 12,314.97 × 6,731.03
  4. Step 4: Simplify right side
    8,229.12x = 82,892,370.94
  5. Step 5: Solve for x
    x = 82,892,370.94/8,229.12
  6. Step 6: Final answer
    x = 10,073.05

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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.