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Finding the Fourth Proportional to 6,224.82, 9,337.23 and 3,596.33

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Solution

The fourth proportional to 6,224.82, 9,337.23 and 3,596.33 is: 5,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.82 : 9,337.23 = 3,596.33 : x
  2. Step 2: Convert to fraction form
    6,224.82/9,337.23 = 3,596.33/x
  3. Step 3: Cross multiply
    6,224.82x = 9,337.23 × 3,596.33
  4. Step 4: Simplify right side
    6,224.82x = 33,579,713.68
  5. Step 5: Solve for x
    x = 33,579,713.68/6,224.82
  6. Step 6: Final answer
    x = 5,394.49

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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.