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Finding the Fourth Proportional to 14,793.76, 20,418.78 and 9,758.44

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Solution

The fourth proportional to 14,793.76, 20,418.78 and 9,758.44 is: 13,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,793.76 : 20,418.78 = 9,758.44 : x
  2. Step 2: Convert to fraction form
    14,793.76/20,418.78 = 9,758.44/x
  3. Step 3: Cross multiply
    14,793.76x = 20,418.78 × 9,758.44
  4. Step 4: Simplify right side
    14,793.76x = 199,255,439.50
  5. Step 5: Solve for x
    x = 199,255,439.50/14,793.76
  6. Step 6: Final answer
    x = 13,468.88

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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.