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Finding the Fourth Proportional to 18,647.10, 27,945.81 and 6,948.54

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Solution

The fourth proportional to 18,647.10, 27,945.81 and 6,948.54 is: 10,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.10 : 27,945.81 = 6,948.54 : x
  2. Step 2: Convert to fraction form
    18,647.10/27,945.81 = 6,948.54/x
  3. Step 3: Cross multiply
    18,647.10x = 27,945.81 × 6,948.54
  4. Step 4: Simplify right side
    18,647.10x = 194,182,578.62
  5. Step 5: Solve for x
    x = 194,182,578.62/18,647.10
  6. Step 6: Final answer
    x = 10,413.55

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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.