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Finding the Fourth Proportional to 7,863.73, 11,792.55 and 3,182.55

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Solution

The fourth proportional to 7,863.73, 11,792.55 and 3,182.55 is: 4,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.73 : 11,792.55 = 3,182.55 : x
  2. Step 2: Convert to fraction form
    7,863.73/11,792.55 = 3,182.55/x
  3. Step 3: Cross multiply
    7,863.73x = 11,792.55 × 3,182.55
  4. Step 4: Simplify right side
    7,863.73x = 37,530,380.00
  5. Step 5: Solve for x
    x = 37,530,380.00/7,863.73
  6. Step 6: Final answer
    x = 4,772.59

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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.