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Finding the Fourth Proportional to 6,850.54, 10,274.73 and 3,150.46

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Solution

The fourth proportional to 6,850.54, 10,274.73 and 3,150.46 is: 4,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.54 : 10,274.73 = 3,150.46 : x
  2. Step 2: Convert to fraction form
    6,850.54/10,274.73 = 3,150.46/x
  3. Step 3: Cross multiply
    6,850.54x = 10,274.73 × 3,150.46
  4. Step 4: Simplify right side
    6,850.54x = 32,370,125.88
  5. Step 5: Solve for x
    x = 32,370,125.88/6,850.54
  6. Step 6: Final answer
    x = 4,725.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.