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Finding the Fourth Proportional to 6,654.83, 9,982.24 and 5,195.21

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Solution

The fourth proportional to 6,654.83, 9,982.24 and 5,195.21 is: 7,792.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.83 : 9,982.24 = 5,195.21 : x
  2. Step 2: Convert to fraction form
    6,654.83/9,982.24 = 5,195.21/x
  3. Step 3: Cross multiply
    6,654.83x = 9,982.24 × 5,195.21
  4. Step 4: Simplify right side
    6,654.83x = 51,859,770.17
  5. Step 5: Solve for x
    x = 51,859,770.17/6,654.83
  6. Step 6: Final answer
    x = 7,792.81

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Similar ratio
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1.5x scale

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.