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Finding the Fourth Proportional to 27,801.31, 41,691.84 and 8,074.57

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Solution

The fourth proportional to 27,801.31, 41,691.84 and 8,074.57 is: 12,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.31 : 41,691.84 = 8,074.57 : x
  2. Step 2: Convert to fraction form
    27,801.31/41,691.84 = 8,074.57/x
  3. Step 3: Cross multiply
    27,801.31x = 41,691.84 × 8,074.57
  4. Step 4: Simplify right side
    27,801.31x = 336,643,680.51
  5. Step 5: Solve for x
    x = 336,643,680.51/27,801.31
  6. Step 6: Final answer
    x = 12,108.91

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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.