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Finding the Fourth Proportional to 7,833.03, 11,747.16 and 2,286.78

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Solution

The fourth proportional to 7,833.03, 11,747.16 and 2,286.78 is: 3,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.03 : 11,747.16 = 2,286.78 : x
  2. Step 2: Convert to fraction form
    7,833.03/11,747.16 = 2,286.78/x
  3. Step 3: Cross multiply
    7,833.03x = 11,747.16 × 2,286.78
  4. Step 4: Simplify right side
    7,833.03x = 26,863,170.54
  5. Step 5: Solve for x
    x = 26,863,170.54/7,833.03
  6. Step 6: Final answer
    x = 3,429.47

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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.