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Finding the Fourth Proportional to 6,583.68, 9,876.03 and 2,201.15

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Solution

The fourth proportional to 6,583.68, 9,876.03 and 2,201.15 is: 3,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.68 : 9,876.03 = 2,201.15 : x
  2. Step 2: Convert to fraction form
    6,583.68/9,876.03 = 2,201.15/x
  3. Step 3: Cross multiply
    6,583.68x = 9,876.03 × 2,201.15
  4. Step 4: Simplify right side
    6,583.68x = 21,738,623.43
  5. Step 5: Solve for x
    x = 21,738,623.43/6,583.68
  6. Step 6: Final answer
    x = 3,301.90

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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.