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Finding the Fourth Proportional to 27,793.12, 41,690.83 and 8,071.68

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Solution

The fourth proportional to 27,793.12, 41,690.83 and 8,071.68 is: 12,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.12 : 41,690.83 = 8,071.68 : x
  2. Step 2: Convert to fraction form
    27,793.12/41,690.83 = 8,071.68/x
  3. Step 3: Cross multiply
    27,793.12x = 41,690.83 × 8,071.68
  4. Step 4: Simplify right side
    27,793.12x = 336,514,850.42
  5. Step 5: Solve for x
    x = 336,514,850.42/27,793.12
  6. Step 6: Final answer
    x = 12,107.85

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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.