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Finding the Fourth Proportional to 26,934.92, 40,404.68 and 8,219.16

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Solution

The fourth proportional to 26,934.92, 40,404.68 and 8,219.16 is: 12,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934.92 : 40,404.68 = 8,219.16 : x
  2. Step 2: Convert to fraction form
    26,934.92/40,404.68 = 8,219.16/x
  3. Step 3: Cross multiply
    26,934.92x = 40,404.68 × 8,219.16
  4. Step 4: Simplify right side
    26,934.92x = 332,092,488.57
  5. Step 5: Solve for x
    x = 332,092,488.57/26,934.92
  6. Step 6: Final answer
    x = 12,329.44

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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.