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Finding the Fourth Proportional to 27,907.97, 41,853.74 and 8,183.97

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Solution

The fourth proportional to 27,907.97, 41,853.74 and 8,183.97 is: 12,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.97 : 41,853.74 = 8,183.97 : x
  2. Step 2: Convert to fraction form
    27,907.97/41,853.74 = 8,183.97/x
  3. Step 3: Cross multiply
    27,907.97x = 41,853.74 × 8,183.97
  4. Step 4: Simplify right side
    27,907.97x = 342,529,711.63
  5. Step 5: Solve for x
    x = 342,529,711.63/27,907.97
  6. Step 6: Final answer
    x = 12,273.55

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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.