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Finding the Fourth Proportional to 6,697.04, 9,241.82 and 3,712.80

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Solution

The fourth proportional to 6,697.04, 9,241.82 and 3,712.80 is: 5,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.04 : 9,241.82 = 3,712.80 : x
  2. Step 2: Convert to fraction form
    6,697.04/9,241.82 = 3,712.80/x
  3. Step 3: Cross multiply
    6,697.04x = 9,241.82 × 3,712.80
  4. Step 4: Simplify right side
    6,697.04x = 34,313,010.73
  5. Step 5: Solve for x
    x = 34,313,010.73/6,697.04
  6. Step 6: Final answer
    x = 5,123.61

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1.5x scale

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.