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Finding the Fourth Proportional to 6,825.60, 10,233.60 and 3,129.60

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Solution

The fourth proportional to 6,825.60, 10,233.60 and 3,129.60 is: 4,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.60 : 10,233.60 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    6,825.60/10,233.60 = 3,129.60/x
  3. Step 3: Cross multiply
    6,825.60x = 10,233.60 × 3,129.60
  4. Step 4: Simplify right side
    6,825.60x = 32,027,074.56
  5. Step 5: Solve for x
    x = 32,027,074.56/6,825.60
  6. Step 6: Final answer
    x = 4,692.20

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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.