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Finding the Fourth Proportional to 27,937.94, 41,906.04 and 8,216.86

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Solution

The fourth proportional to 27,937.94, 41,906.04 and 8,216.86 is: 12,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.94 : 41,906.04 = 8,216.86 : x
  2. Step 2: Convert to fraction form
    27,937.94/41,906.04 = 8,216.86/x
  3. Step 3: Cross multiply
    27,937.94x = 41,906.04 × 8,216.86
  4. Step 4: Simplify right side
    27,937.94x = 344,336,063.83
  5. Step 5: Solve for x
    x = 344,336,063.83/27,937.94
  6. Step 6: Final answer
    x = 12,325.03

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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.