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Finding the Fourth Proportional to 6,279.92, 9,413.30 and 2,118.50

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Solution

The fourth proportional to 6,279.92, 9,413.30 and 2,118.50 is: 3,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.92 : 9,413.30 = 2,118.50 : x
  2. Step 2: Convert to fraction form
    6,279.92/9,413.30 = 2,118.50/x
  3. Step 3: Cross multiply
    6,279.92x = 9,413.30 × 2,118.50
  4. Step 4: Simplify right side
    6,279.92x = 19,942,076.05
  5. Step 5: Solve for x
    x = 19,942,076.05/6,279.92
  6. Step 6: Final answer
    x = 3,175.53

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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.