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Finding the Fourth Proportional to 6,697.80, 9,241.38 and 3,903.48

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Solution

The fourth proportional to 6,697.80, 9,241.38 and 3,903.48 is: 5,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.80 : 9,241.38 = 3,903.48 : x
  2. Step 2: Convert to fraction form
    6,697.80/9,241.38 = 3,903.48/x
  3. Step 3: Cross multiply
    6,697.80x = 9,241.38 × 3,903.48
  4. Step 4: Simplify right side
    6,697.80x = 36,073,542.00
  5. Step 5: Solve for x
    x = 36,073,542.00/6,697.80
  6. Step 6: Final answer
    x = 5,385.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.