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Finding the Fourth Proportional to 20,778.60, 31,167.90 and 6,738.60

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Solution

The fourth proportional to 20,778.60, 31,167.90 and 6,738.60 is: 10,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.60 : 31,167.90 = 6,738.60 : x
  2. Step 2: Convert to fraction form
    20,778.60/31,167.90 = 6,738.60/x
  3. Step 3: Cross multiply
    20,778.60x = 31,167.90 × 6,738.60
  4. Step 4: Simplify right side
    20,778.60x = 210,028,010.94
  5. Step 5: Solve for x
    x = 210,028,010.94/20,778.60
  6. Step 6: Final answer
    x = 10,107.90

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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.