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Finding the Fourth Proportional to 6,697.62, 9,242.27 and 3,865.11

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Solution

The fourth proportional to 6,697.62, 9,242.27 and 3,865.11 is: 5,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.62 : 9,242.27 = 3,865.11 : x
  2. Step 2: Convert to fraction form
    6,697.62/9,242.27 = 3,865.11/x
  3. Step 3: Cross multiply
    6,697.62x = 9,242.27 × 3,865.11
  4. Step 4: Simplify right side
    6,697.62x = 35,722,393.98
  5. Step 5: Solve for x
    x = 35,722,393.98/6,697.62
  6. Step 6: Final answer
    x = 5,333.60

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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.