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Finding the Fourth Proportional to 23,723.67, 35,591.70 and 7,083.71

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Solution

The fourth proportional to 23,723.67, 35,591.70 and 7,083.71 is: 10,627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.67 : 35,591.70 = 7,083.71 : x
  2. Step 2: Convert to fraction form
    23,723.67/35,591.70 = 7,083.71/x
  3. Step 3: Cross multiply
    23,723.67x = 35,591.70 × 7,083.71
  4. Step 4: Simplify right side
    23,723.67x = 252,121,103.25
  5. Step 5: Solve for x
    x = 252,121,103.25/23,723.67
  6. Step 6: Final answer
    x = 10,627.41

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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.