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Finding the Fourth Proportional to 6,982.62, 9,636.40 and 3,997.77

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Solution

The fourth proportional to 6,982.62, 9,636.40 and 3,997.77 is: 5,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.62 : 9,636.40 = 3,997.77 : x
  2. Step 2: Convert to fraction form
    6,982.62/9,636.40 = 3,997.77/x
  3. Step 3: Cross multiply
    6,982.62x = 9,636.40 × 3,997.77
  4. Step 4: Simplify right side
    6,982.62x = 38,524,110.83
  5. Step 5: Solve for x
    x = 38,524,110.83/6,982.62
  6. Step 6: Final answer
    x = 5,517.14

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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.