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Finding the Fourth Proportional to 8,413.60, 12,609.60 and 6,456.10

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Solution

The fourth proportional to 8,413.60, 12,609.60 and 6,456.10 is: 9,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.60 : 12,609.60 = 6,456.10 : x
  2. Step 2: Convert to fraction form
    8,413.60/12,609.60 = 6,456.10/x
  3. Step 3: Cross multiply
    8,413.60x = 12,609.60 × 6,456.10
  4. Step 4: Simplify right side
    8,413.60x = 81,408,838.56
  5. Step 5: Solve for x
    x = 81,408,838.56/8,413.60
  6. Step 6: Final answer
    x = 9,675.86

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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.