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Finding the Fourth Proportional to 6,413.09, 8,850.09 and 3,760.54

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Solution

The fourth proportional to 6,413.09, 8,850.09 and 3,760.54 is: 5,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.09 : 8,850.09 = 3,760.54 : x
  2. Step 2: Convert to fraction form
    6,413.09/8,850.09 = 3,760.54/x
  3. Step 3: Cross multiply
    6,413.09x = 8,850.09 × 3,760.54
  4. Step 4: Simplify right side
    6,413.09x = 33,281,109.43
  5. Step 5: Solve for x
    x = 33,281,109.43/6,413.09
  6. Step 6: Final answer
    x = 5,189.56

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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.