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Finding the Fourth Proportional to 6,529.18, 9,016.62 and 5,579.38

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Solution

The fourth proportional to 6,529.18, 9,016.62 and 5,579.38 is: 7,704.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.18 : 9,016.62 = 5,579.38 : x
  2. Step 2: Convert to fraction form
    6,529.18/9,016.62 = 5,579.38/x
  3. Step 3: Cross multiply
    6,529.18x = 9,016.62 × 5,579.38
  4. Step 4: Simplify right side
    6,529.18x = 50,307,149.30
  5. Step 5: Solve for x
    x = 50,307,149.30/6,529.18
  6. Step 6: Final answer
    x = 7,704.97

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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.