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Finding the Fourth Proportional to 6,538.62, 9,027.09 and 4,304.37

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Solution

The fourth proportional to 6,538.62, 9,027.09 and 4,304.37 is: 5,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.62 : 9,027.09 = 4,304.37 : x
  2. Step 2: Convert to fraction form
    6,538.62/9,027.09 = 4,304.37/x
  3. Step 3: Cross multiply
    6,538.62x = 9,027.09 × 4,304.37
  4. Step 4: Simplify right side
    6,538.62x = 38,855,935.38
  5. Step 5: Solve for x
    x = 38,855,935.38/6,538.62
  6. Step 6: Final answer
    x = 5,942.53

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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.