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Finding the Fourth Proportional to 7,087.78, 9,781.17 and 3,943.96

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Solution

The fourth proportional to 7,087.78, 9,781.17 and 3,943.96 is: 5,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.78 : 9,781.17 = 3,943.96 : x
  2. Step 2: Convert to fraction form
    7,087.78/9,781.17 = 3,943.96/x
  3. Step 3: Cross multiply
    7,087.78x = 9,781.17 × 3,943.96
  4. Step 4: Simplify right side
    7,087.78x = 38,576,543.23
  5. Step 5: Solve for x
    x = 38,576,543.23/7,087.78
  6. Step 6: Final answer
    x = 5,442.68

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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.