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Finding the Fourth Proportional to 9,233.96, 13,850.96 and 3,687.76

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Solution

The fourth proportional to 9,233.96, 13,850.96 and 3,687.76 is: 5,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.96 : 13,850.96 = 3,687.76 : x
  2. Step 2: Convert to fraction form
    9,233.96/13,850.96 = 3,687.76/x
  3. Step 3: Cross multiply
    9,233.96x = 13,850.96 × 3,687.76
  4. Step 4: Simplify right side
    9,233.96x = 51,079,016.25
  5. Step 5: Solve for x
    x = 51,079,016.25/9,233.96
  6. Step 6: Final answer
    x = 5,531.65

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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.