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Finding the Fourth Proportional to 6,581.54, 9,872.10 and 2,199.03

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Solution

The fourth proportional to 6,581.54, 9,872.10 and 2,199.03 is: 3,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.54 : 9,872.10 = 2,199.03 : x
  2. Step 2: Convert to fraction form
    6,581.54/9,872.10 = 2,199.03/x
  3. Step 3: Cross multiply
    6,581.54x = 9,872.10 × 2,199.03
  4. Step 4: Simplify right side
    6,581.54x = 21,709,044.06
  5. Step 5: Solve for x
    x = 21,709,044.06/6,581.54
  6. Step 6: Final answer
    x = 3,298.48

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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.