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Finding the Fourth Proportional to 8,630.96, 12,934.20 and 6,674

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Solution

The fourth proportional to 8,630.96, 12,934.20 and 6,674 is: 10,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.96 : 12,934.20 = 6,674 : x
  2. Step 2: Convert to fraction form
    8,630.96/12,934.20 = 6,674/x
  3. Step 3: Cross multiply
    8,630.96x = 12,934.20 × 6,674
  4. Step 4: Simplify right side
    8,630.96x = 86,322,850.80
  5. Step 5: Solve for x
    x = 86,322,850.80/8,630.96
  6. Step 6: Final answer
    x = 10,001.54

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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.