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Finding the Fourth Proportional to 9,298.80, 13,948.20 and 5,413.20

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Solution

The fourth proportional to 9,298.80, 13,948.20 and 5,413.20 is: 8,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.80 : 13,948.20 = 5,413.20 : x
  2. Step 2: Convert to fraction form
    9,298.80/13,948.20 = 5,413.20/x
  3. Step 3: Cross multiply
    9,298.80x = 13,948.20 × 5,413.20
  4. Step 4: Simplify right side
    9,298.80x = 75,504,396.24
  5. Step 5: Solve for x
    x = 75,504,396.24/9,298.80
  6. Step 6: Final answer
    x = 8,119.80

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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.