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Finding the Fourth Proportional to 8,676, 13,017.96 and 4,231.22

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Solution

The fourth proportional to 8,676, 13,017.96 and 4,231.22 is: 6,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,676 : 13,017.96 = 4,231.22 : x
  2. Step 2: Convert to fraction form
    8,676/13,017.96 = 4,231.22/x
  3. Step 3: Cross multiply
    8,676x = 13,017.96 × 4,231.22
  4. Step 4: Simplify right side
    8,676x = 55,081,787.62
  5. Step 5: Solve for x
    x = 55,081,787.62/8,676
  6. Step 6: Final answer
    x = 6,348.75

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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.