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Finding the Fourth Proportional to 5,614.62, 7,747.82 and 3,096.60

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Solution

The fourth proportional to 5,614.62, 7,747.82 and 3,096.60 is: 4,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.62 : 7,747.82 = 3,096.60 : x
  2. Step 2: Convert to fraction form
    5,614.62/7,747.82 = 3,096.60/x
  3. Step 3: Cross multiply
    5,614.62x = 7,747.82 × 3,096.60
  4. Step 4: Simplify right side
    5,614.62x = 23,991,883.93
  5. Step 5: Solve for x
    x = 23,991,883.93/5,614.62
  6. Step 6: Final answer
    x = 4,273.11

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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.