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Finding the Fourth Proportional to 26,500.22, 39,747.22 and 6,778.88

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Solution

The fourth proportional to 26,500.22, 39,747.22 and 6,778.88 is: 10,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,500.22 : 39,747.22 = 6,778.88 : x
  2. Step 2: Convert to fraction form
    26,500.22/39,747.22 = 6,778.88/x
  3. Step 3: Cross multiply
    26,500.22x = 39,747.22 × 6,778.88
  4. Step 4: Simplify right side
    26,500.22x = 269,441,634.71
  5. Step 5: Solve for x
    x = 269,441,634.71/26,500.22
  6. Step 6: Final answer
    x = 10,167.52

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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.