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Finding the Fourth Proportional to 6,850.25, 10,277.00 and 2,233.25

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Solution

The fourth proportional to 6,850.25, 10,277.00 and 2,233.25 is: 3,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.25 : 10,277.00 = 2,233.25 : x
  2. Step 2: Convert to fraction form
    6,850.25/10,277.00 = 2,233.25/x
  3. Step 3: Cross multiply
    6,850.25x = 10,277.00 × 2,233.25
  4. Step 4: Simplify right side
    6,850.25x = 22,951,099.08
  5. Step 5: Solve for x
    x = 22,951,099.08/6,850.25
  6. Step 6: Final answer
    x = 3,350.40

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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.