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Finding the Fourth Proportional to 6,559.72, 9,841.32 and 2,662

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Solution

The fourth proportional to 6,559.72, 9,841.32 and 2,662 is: 3,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.72 : 9,841.32 = 2,662 : x
  2. Step 2: Convert to fraction form
    6,559.72/9,841.32 = 2,662/x
  3. Step 3: Cross multiply
    6,559.72x = 9,841.32 × 2,662
  4. Step 4: Simplify right side
    6,559.72x = 26,197,593.84
  5. Step 5: Solve for x
    x = 26,197,593.84/6,559.72
  6. Step 6: Final answer
    x = 3,993.71

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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.