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Finding the Fourth Proportional to 6,579.93, 9,871.82 and 2,200.46

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Solution

The fourth proportional to 6,579.93, 9,871.82 and 2,200.46 is: 3,301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.93 : 9,871.82 = 2,200.46 : x
  2. Step 2: Convert to fraction form
    6,579.93/9,871.82 = 2,200.46/x
  3. Step 3: Cross multiply
    6,579.93x = 9,871.82 × 2,200.46
  4. Step 4: Simplify right side
    6,579.93x = 21,722,534.03
  5. Step 5: Solve for x
    x = 21,722,534.03/6,579.93
  6. Step 6: Final answer
    x = 3,301.33

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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.