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Finding the Fourth Proportional to 8,064.33, 12,085.16 and 6,413.55

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Solution

The fourth proportional to 8,064.33, 12,085.16 and 6,413.55 is: 9,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.33 : 12,085.16 = 6,413.55 : x
  2. Step 2: Convert to fraction form
    8,064.33/12,085.16 = 6,413.55/x
  3. Step 3: Cross multiply
    8,064.33x = 12,085.16 × 6,413.55
  4. Step 4: Simplify right side
    8,064.33x = 77,508,745.85
  5. Step 5: Solve for x
    x = 77,508,745.85/8,064.33
  6. Step 6: Final answer
    x = 9,611.31

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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.