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Finding the Fourth Proportional to 6,584.82, 9,879.25 and 2,636.07

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Solution

The fourth proportional to 6,584.82, 9,879.25 and 2,636.07 is: 3,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.82 : 9,879.25 = 2,636.07 : x
  2. Step 2: Convert to fraction form
    6,584.82/9,879.25 = 2,636.07/x
  3. Step 3: Cross multiply
    6,584.82x = 9,879.25 × 2,636.07
  4. Step 4: Simplify right side
    6,584.82x = 26,042,394.55
  5. Step 5: Solve for x
    x = 26,042,394.55/6,584.82
  6. Step 6: Final answer
    x = 3,954.91

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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.