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Finding the Fourth Proportional to 6,823.74, 9,413.91 and 4,024.38

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Solution

The fourth proportional to 6,823.74, 9,413.91 and 4,024.38 is: 5,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.74 : 9,413.91 = 4,024.38 : x
  2. Step 2: Convert to fraction form
    6,823.74/9,413.91 = 4,024.38/x
  3. Step 3: Cross multiply
    6,823.74x = 9,413.91 × 4,024.38
  4. Step 4: Simplify right side
    6,823.74x = 37,885,151.13
  5. Step 5: Solve for x
    x = 37,885,151.13/6,823.74
  6. Step 6: Final answer
    x = 5,551.96

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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.