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Finding the Fourth Proportional to 12,254.80, 18,382.20 and 6,413.20

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Solution

The fourth proportional to 12,254.80, 18,382.20 and 6,413.20 is: 9,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.80 : 18,382.20 = 6,413.20 : x
  2. Step 2: Convert to fraction form
    12,254.80/18,382.20 = 6,413.20/x
  3. Step 3: Cross multiply
    12,254.80x = 18,382.20 × 6,413.20
  4. Step 4: Simplify right side
    12,254.80x = 117,888,725.04
  5. Step 5: Solve for x
    x = 117,888,725.04/12,254.80
  6. Step 6: Final answer
    x = 9,619.80

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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.