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Finding the Fourth Proportional to 27,953.47, 41,934.62 and 8,229.43

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Solution

The fourth proportional to 27,953.47, 41,934.62 and 8,229.43 is: 12,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.47 : 41,934.62 = 8,229.43 : x
  2. Step 2: Convert to fraction form
    27,953.47/41,934.62 = 8,229.43/x
  3. Step 3: Cross multiply
    27,953.47x = 41,934.62 × 8,229.43
  4. Step 4: Simplify right side
    27,953.47x = 345,098,019.87
  5. Step 5: Solve for x
    x = 345,098,019.87/27,953.47
  6. Step 6: Final answer
    x = 12,345.44

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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.