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Finding the Fourth Proportional to 27,934.93, 41,901.54 and 8,213.86

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Solution

The fourth proportional to 27,934.93, 41,901.54 and 8,213.86 is: 12,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.93 : 41,901.54 = 8,213.86 : x
  2. Step 2: Convert to fraction form
    27,934.93/41,901.54 = 8,213.86/x
  3. Step 3: Cross multiply
    27,934.93x = 41,901.54 × 8,213.86
  4. Step 4: Simplify right side
    27,934.93x = 344,173,383.34
  5. Step 5: Solve for x
    x = 344,173,383.34/27,934.93
  6. Step 6: Final answer
    x = 12,320.54

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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.