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Finding the Fourth Proportional to 6,801.92, 10,202.88 and 2,188.16

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Solution

The fourth proportional to 6,801.92, 10,202.88 and 2,188.16 is: 3,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.92 : 10,202.88 = 2,188.16 : x
  2. Step 2: Convert to fraction form
    6,801.92/10,202.88 = 2,188.16/x
  3. Step 3: Cross multiply
    6,801.92x = 10,202.88 × 2,188.16
  4. Step 4: Simplify right side
    6,801.92x = 22,325,533.90
  5. Step 5: Solve for x
    x = 22,325,533.90/6,801.92
  6. Step 6: Final answer
    x = 3,282.24

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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.