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Finding the Fourth Proportional to 6,413.78, 8,853.50 and 5,513.97

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Solution

The fourth proportional to 6,413.78, 8,853.50 and 5,513.97 is: 7,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.78 : 8,853.50 = 5,513.97 : x
  2. Step 2: Convert to fraction form
    6,413.78/8,853.50 = 5,513.97/x
  3. Step 3: Cross multiply
    6,413.78x = 8,853.50 × 5,513.97
  4. Step 4: Simplify right side
    6,413.78x = 48,817,980.38
  5. Step 5: Solve for x
    x = 48,817,980.38/6,413.78
  6. Step 6: Final answer
    x = 7,611.42

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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.