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Finding the Fourth Proportional to 24,413.50, 36,620.25 and 5,945.50

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Solution

The fourth proportional to 24,413.50, 36,620.25 and 5,945.50 is: 8,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.50 : 36,620.25 = 5,945.50 : x
  2. Step 2: Convert to fraction form
    24,413.50/36,620.25 = 5,945.50/x
  3. Step 3: Cross multiply
    24,413.50x = 36,620.25 × 5,945.50
  4. Step 4: Simplify right side
    24,413.50x = 217,725,696.38
  5. Step 5: Solve for x
    x = 217,725,696.38/24,413.50
  6. Step 6: Final answer
    x = 8,918.25

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1.5x scale

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.