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Finding the Fourth Proportional to 7,286.92, 10,930.50 and 2,092.80

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Solution

The fourth proportional to 7,286.92, 10,930.50 and 2,092.80 is: 3,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.92 : 10,930.50 = 2,092.80 : x
  2. Step 2: Convert to fraction form
    7,286.92/10,930.50 = 2,092.80/x
  3. Step 3: Cross multiply
    7,286.92x = 10,930.50 × 2,092.80
  4. Step 4: Simplify right side
    7,286.92x = 22,875,350.40
  5. Step 5: Solve for x
    x = 22,875,350.40/7,286.92
  6. Step 6: Final answer
    x = 3,139.23

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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.