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Finding the Fourth Proportional to 7,233.97, 10,847.37 and 2,302.97

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Solution

The fourth proportional to 7,233.97, 10,847.37 and 2,302.97 is: 3,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.97 : 10,847.37 = 2,302.97 : x
  2. Step 2: Convert to fraction form
    7,233.97/10,847.37 = 2,302.97/x
  3. Step 3: Cross multiply
    7,233.97x = 10,847.37 × 2,302.97
  4. Step 4: Simplify right side
    7,233.97x = 24,981,189.05
  5. Step 5: Solve for x
    x = 24,981,189.05/7,233.97
  6. Step 6: Final answer
    x = 3,453.32

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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.