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Finding the Fourth Proportional to 13,770, 20,654.46 and 3,909.06

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Solution

The fourth proportional to 13,770, 20,654.46 and 3,909.06 is: 5,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770 : 20,654.46 = 3,909.06 : x
  2. Step 2: Convert to fraction form
    13,770/20,654.46 = 3,909.06/x
  3. Step 3: Cross multiply
    13,770x = 20,654.46 × 3,909.06
  4. Step 4: Simplify right side
    13,770x = 80,739,523.41
  5. Step 5: Solve for x
    x = 80,739,523.41/13,770
  6. Step 6: Final answer
    x = 5,863.44

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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.