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Finding the Fourth Proportional to 6,718, 9,270.88 and 3,922.96

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Solution

The fourth proportional to 6,718, 9,270.88 and 3,922.96 is: 5,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718 : 9,270.88 = 3,922.96 : x
  2. Step 2: Convert to fraction form
    6,718/9,270.88 = 3,922.96/x
  3. Step 3: Cross multiply
    6,718x = 9,270.88 × 3,922.96
  4. Step 4: Simplify right side
    6,718x = 36,369,291.40
  5. Step 5: Solve for x
    x = 36,369,291.40/6,718
  6. Step 6: Final answer
    x = 5,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.