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Finding the Fourth Proportional to 8,569.44, 12,854.16 and 2,413.44

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Solution

The fourth proportional to 8,569.44, 12,854.16 and 2,413.44 is: 3,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.44 : 12,854.16 = 2,413.44 : x
  2. Step 2: Convert to fraction form
    8,569.44/12,854.16 = 2,413.44/x
  3. Step 3: Cross multiply
    8,569.44x = 12,854.16 × 2,413.44
  4. Step 4: Simplify right side
    8,569.44x = 31,022,743.91
  5. Step 5: Solve for x
    x = 31,022,743.91/8,569.44
  6. Step 6: Final answer
    x = 3,620.16

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Similar ratio
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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.