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Finding the Fourth Proportional to 6,939, 10,413.96 and 3,046.08

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Solution

The fourth proportional to 6,939, 10,413.96 and 3,046.08 is: 4,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939 : 10,413.96 = 3,046.08 : x
  2. Step 2: Convert to fraction form
    6,939/10,413.96 = 3,046.08/x
  3. Step 3: Cross multiply
    6,939x = 10,413.96 × 3,046.08
  4. Step 4: Simplify right side
    6,939x = 31,721,755.28
  5. Step 5: Solve for x
    x = 31,721,755.28/6,939
  6. Step 6: Final answer
    x = 4,571.52

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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.