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Finding the Fourth Proportional to 7,842.73, 11,761.03 and 2,843.92

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Solution

The fourth proportional to 7,842.73, 11,761.03 and 2,843.92 is: 4,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.73 : 11,761.03 = 2,843.92 : x
  2. Step 2: Convert to fraction form
    7,842.73/11,761.03 = 2,843.92/x
  3. Step 3: Cross multiply
    7,842.73x = 11,761.03 × 2,843.92
  4. Step 4: Simplify right side
    7,842.73x = 33,447,402.59
  5. Step 5: Solve for x
    x = 33,447,402.59/7,842.73
  6. Step 6: Final answer
    x = 4,264.76

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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.