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Finding the Fourth Proportional to 8,662.96, 12,982.20 and 6,706

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Solution

The fourth proportional to 8,662.96, 12,982.20 and 6,706 is: 10,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.96 : 12,982.20 = 6,706 : x
  2. Step 2: Convert to fraction form
    8,662.96/12,982.20 = 6,706/x
  3. Step 3: Cross multiply
    8,662.96x = 12,982.20 × 6,706
  4. Step 4: Simplify right side
    8,662.96x = 87,058,633.20
  5. Step 5: Solve for x
    x = 87,058,633.20/8,662.96
  6. Step 6: Final answer
    x = 10,049.53

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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.