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Finding the Fourth Proportional to 22,647.39, 33,974.72 and 7,865.09

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Solution

The fourth proportional to 22,647.39, 33,974.72 and 7,865.09 is: 11,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.39 : 33,974.72 = 7,865.09 : x
  2. Step 2: Convert to fraction form
    22,647.39/33,974.72 = 7,865.09/x
  3. Step 3: Cross multiply
    22,647.39x = 33,974.72 × 7,865.09
  4. Step 4: Simplify right side
    22,647.39x = 267,214,230.52
  5. Step 5: Solve for x
    x = 267,214,230.52/22,647.39
  6. Step 6: Final answer
    x = 11,798.90

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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.