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Finding the Fourth Proportional to 13,672.80, 20,509.20 and 7,767.90

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Solution

The fourth proportional to 13,672.80, 20,509.20 and 7,767.90 is: 11,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.80 : 20,509.20 = 7,767.90 : x
  2. Step 2: Convert to fraction form
    13,672.80/20,509.20 = 7,767.90/x
  3. Step 3: Cross multiply
    13,672.80x = 20,509.20 × 7,767.90
  4. Step 4: Simplify right side
    13,672.80x = 159,313,414.68
  5. Step 5: Solve for x
    x = 159,313,414.68/13,672.80
  6. Step 6: Final answer
    x = 11,651.85

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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.