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Finding the Fourth Proportional to 12,413.60, 18,620.40 and 7,164.80

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Solution

The fourth proportional to 12,413.60, 18,620.40 and 7,164.80 is: 10,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.60 : 18,620.40 = 7,164.80 : x
  2. Step 2: Convert to fraction form
    12,413.60/18,620.40 = 7,164.80/x
  3. Step 3: Cross multiply
    12,413.60x = 18,620.40 × 7,164.80
  4. Step 4: Simplify right side
    12,413.60x = 133,411,441.92
  5. Step 5: Solve for x
    x = 133,411,441.92/12,413.60
  6. Step 6: Final answer
    x = 10,747.20

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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.