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Finding the Fourth Proportional to 6,274.82, 9,413.85 and 2,379.26

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Solution

The fourth proportional to 6,274.82, 9,413.85 and 2,379.26 is: 3,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.82 : 9,413.85 = 2,379.26 : x
  2. Step 2: Convert to fraction form
    6,274.82/9,413.85 = 2,379.26/x
  3. Step 3: Cross multiply
    6,274.82x = 9,413.85 × 2,379.26
  4. Step 4: Simplify right side
    6,274.82x = 22,397,996.75
  5. Step 5: Solve for x
    x = 22,397,996.75/6,274.82
  6. Step 6: Final answer
    x = 3,569.50

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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.