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Finding the Fourth Proportional to 6,413.49, 8,850.15 and 3,723.48

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Solution

The fourth proportional to 6,413.49, 8,850.15 and 3,723.48 is: 5,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.49 : 8,850.15 = 3,723.48 : x
  2. Step 2: Convert to fraction form
    6,413.49/8,850.15 = 3,723.48/x
  3. Step 3: Cross multiply
    6,413.49x = 8,850.15 × 3,723.48
  4. Step 4: Simplify right side
    6,413.49x = 32,953,356.52
  5. Step 5: Solve for x
    x = 32,953,356.52/6,413.49
  6. Step 6: Final answer
    x = 5,138.13

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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.