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Finding the Fourth Proportional to 22,778.67, 34,165.67 and 6,138.03

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Solution

The fourth proportional to 22,778.67, 34,165.67 and 6,138.03 is: 9,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.67 : 34,165.67 = 6,138.03 : x
  2. Step 2: Convert to fraction form
    22,778.67/34,165.67 = 6,138.03/x
  3. Step 3: Cross multiply
    22,778.67x = 34,165.67 × 6,138.03
  4. Step 4: Simplify right side
    22,778.67x = 209,709,876.74
  5. Step 5: Solve for x
    x = 209,709,876.74/22,778.67
  6. Step 6: Final answer
    x = 9,206.41

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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.