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Finding the Fourth Proportional to 8,413.47, 12,609.27 and 8,282.25

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Solution

The fourth proportional to 8,413.47, 12,609.27 and 8,282.25 is: 12,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.47 : 12,609.27 = 8,282.25 : x
  2. Step 2: Convert to fraction form
    8,413.47/12,609.27 = 8,282.25/x
  3. Step 3: Cross multiply
    8,413.47x = 12,609.27 × 8,282.25
  4. Step 4: Simplify right side
    8,413.47x = 104,433,126.46
  5. Step 5: Solve for x
    x = 104,433,126.46/8,413.47
  6. Step 6: Final answer
    x = 12,412.61

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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.