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Finding the Fourth Proportional to 5,930.96, 8,897.11 and 1,982.73

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Solution

The fourth proportional to 5,930.96, 8,897.11 and 1,982.73 is: 2,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.96 : 8,897.11 = 1,982.73 : x
  2. Step 2: Convert to fraction form
    5,930.96/8,897.11 = 1,982.73/x
  3. Step 3: Cross multiply
    5,930.96x = 8,897.11 × 1,982.73
  4. Step 4: Simplify right side
    5,930.96x = 17,640,545.27
  5. Step 5: Solve for x
    x = 17,640,545.27/5,930.96
  6. Step 6: Final answer
    x = 2,974.32

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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.