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Finding the Fourth Proportional to 6,538.50, 9,023.22 and 3,744

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Solution

The fourth proportional to 6,538.50, 9,023.22 and 3,744 is: 5,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.50 : 9,023.22 = 3,744 : x
  2. Step 2: Convert to fraction form
    6,538.50/9,023.22 = 3,744/x
  3. Step 3: Cross multiply
    6,538.50x = 9,023.22 × 3,744
  4. Step 4: Simplify right side
    6,538.50x = 33,782,935.68
  5. Step 5: Solve for x
    x = 33,782,935.68/6,538.50
  6. Step 6: Final answer
    x = 5,166.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.