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Finding the Fourth Proportional to 6,581.05, 9,871.34 and 2,198.39

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Solution

The fourth proportional to 6,581.05, 9,871.34 and 2,198.39 is: 3,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.05 : 9,871.34 = 2,198.39 : x
  2. Step 2: Convert to fraction form
    6,581.05/9,871.34 = 2,198.39/x
  3. Step 3: Cross multiply
    6,581.05x = 9,871.34 × 2,198.39
  4. Step 4: Simplify right side
    6,581.05x = 21,701,068.87
  5. Step 5: Solve for x
    x = 21,701,068.87/6,581.05
  6. Step 6: Final answer
    x = 3,297.51

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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.