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Finding the Fourth Proportional to 15,169.34, 20,934.17 and 8,454.78

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Solution

The fourth proportional to 15,169.34, 20,934.17 and 8,454.78 is: 11,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,169.34 : 20,934.17 = 8,454.78 : x
  2. Step 2: Convert to fraction form
    15,169.34/20,934.17 = 8,454.78/x
  3. Step 3: Cross multiply
    15,169.34x = 20,934.17 × 8,454.78
  4. Step 4: Simplify right side
    15,169.34x = 176,993,759.56
  5. Step 5: Solve for x
    x = 176,993,759.56/15,169.34
  6. Step 6: Final answer
    x = 11,667.87

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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.