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Finding the Fourth Proportional to 6,581.73, 9,872.64 and 2,633.32

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Solution

The fourth proportional to 6,581.73, 9,872.64 and 2,633.32 is: 3,949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.73 : 9,872.64 = 2,633.32 : x
  2. Step 2: Convert to fraction form
    6,581.73/9,872.64 = 2,633.32/x
  3. Step 3: Cross multiply
    6,581.73x = 9,872.64 × 2,633.32
  4. Step 4: Simplify right side
    6,581.73x = 25,997,795.68
  5. Step 5: Solve for x
    x = 25,997,795.68/6,581.73
  6. Step 6: Final answer
    x = 3,949.99

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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.