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Finding the Fourth Proportional to 13,462.54, 18,578.48 and 7,413.49

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Solution

The fourth proportional to 13,462.54, 18,578.48 and 7,413.49 is: 10,230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.54 : 18,578.48 = 7,413.49 : x
  2. Step 2: Convert to fraction form
    13,462.54/18,578.48 = 7,413.49/x
  3. Step 3: Cross multiply
    13,462.54x = 18,578.48 × 7,413.49
  4. Step 4: Simplify right side
    13,462.54x = 137,731,375.70
  5. Step 5: Solve for x
    x = 137,731,375.70/13,462.54
  6. Step 6: Final answer
    x = 10,230.71

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1.5x scale

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.