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Finding the Fourth Proportional to 27,947.36, 41,906.62 and 8,223.36

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Solution

The fourth proportional to 27,947.36, 41,906.62 and 8,223.36 is: 12,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.36 : 41,906.62 = 8,223.36 : x
  2. Step 2: Convert to fraction form
    27,947.36/41,906.62 = 8,223.36/x
  3. Step 3: Cross multiply
    27,947.36x = 41,906.62 × 8,223.36
  4. Step 4: Simplify right side
    27,947.36x = 344,613,029.52
  5. Step 5: Solve for x
    x = 344,613,029.52/27,947.36
  6. Step 6: Final answer
    x = 12,330.79

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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.