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Finding the Fourth Proportional to 8,231.76, 12,350.39 and 5,469.30

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Solution

The fourth proportional to 8,231.76, 12,350.39 and 5,469.30 is: 8,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.76 : 12,350.39 = 5,469.30 : x
  2. Step 2: Convert to fraction form
    8,231.76/12,350.39 = 5,469.30/x
  3. Step 3: Cross multiply
    8,231.76x = 12,350.39 × 5,469.30
  4. Step 4: Simplify right side
    8,231.76x = 67,547,960.68
  5. Step 5: Solve for x
    x = 67,547,960.68/8,231.76
  6. Step 6: Final answer
    x = 8,205.77

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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.