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Finding the Fourth Proportional to 23,843.70, 35,751.63 and 7,198.74

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Solution

The fourth proportional to 23,843.70, 35,751.63 and 7,198.74 is: 10,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.70 : 35,751.63 = 7,198.74 : x
  2. Step 2: Convert to fraction form
    23,843.70/35,751.63 = 7,198.74/x
  3. Step 3: Cross multiply
    23,843.70x = 35,751.63 × 7,198.74
  4. Step 4: Simplify right side
    23,843.70x = 257,366,688.95
  5. Step 5: Solve for x
    x = 257,366,688.95/23,843.70
  6. Step 6: Final answer
    x = 10,793.91

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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.