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Finding the Fourth Proportional to 19,843.53, 29,766.74 and 5,993.61

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Solution

The fourth proportional to 19,843.53, 29,766.74 and 5,993.61 is: 8,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.53 : 29,766.74 = 5,993.61 : x
  2. Step 2: Convert to fraction form
    19,843.53/29,766.74 = 5,993.61/x
  3. Step 3: Cross multiply
    19,843.53x = 29,766.74 × 5,993.61
  4. Step 4: Simplify right side
    19,843.53x = 178,410,200.56
  5. Step 5: Solve for x
    x = 178,410,200.56/19,843.53
  6. Step 6: Final answer
    x = 8,990.85

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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.