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Finding the Fourth Proportional to 8,273.50, 12,418.46 and 6,731.68

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Solution

The fourth proportional to 8,273.50, 12,418.46 and 6,731.68 is: 10,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.50 : 12,418.46 = 6,731.68 : x
  2. Step 2: Convert to fraction form
    8,273.50/12,418.46 = 6,731.68/x
  3. Step 3: Cross multiply
    8,273.50x = 12,418.46 × 6,731.68
  4. Step 4: Simplify right side
    8,273.50x = 83,597,098.81
  5. Step 5: Solve for x
    x = 83,597,098.81/8,273.50
  6. Step 6: Final answer
    x = 10,104.20

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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.