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Finding the Fourth Proportional to 9,180, 13,770.16 and 3,708

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Solution

The fourth proportional to 9,180, 13,770.16 and 3,708 is: 5,562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,770.16 = 3,708 : x
  2. Step 2: Convert to fraction form
    9,180/13,770.16 = 3,708/x
  3. Step 3: Cross multiply
    9,180x = 13,770.16 × 3,708
  4. Step 4: Simplify right side
    9,180x = 51,059,753.28
  5. Step 5: Solve for x
    x = 51,059,753.28/9,180
  6. Step 6: Final answer
    x = 5,562.06

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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.