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Finding the Fourth Proportional to 6,584.69, 9,874.98 and 2,201.13

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Solution

The fourth proportional to 6,584.69, 9,874.98 and 2,201.13 is: 3,301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.69 : 9,874.98 = 2,201.13 : x
  2. Step 2: Convert to fraction form
    6,584.69/9,874.98 = 2,201.13/x
  3. Step 3: Cross multiply
    6,584.69x = 9,874.98 × 2,201.13
  4. Step 4: Simplify right side
    6,584.69x = 21,736,114.73
  5. Step 5: Solve for x
    x = 21,736,114.73/6,584.69
  6. Step 6: Final answer
    x = 3,301.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.