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Finding the Fourth Proportional to 7,791.90, 11,694.06 and 4,096.31

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Solution

The fourth proportional to 7,791.90, 11,694.06 and 4,096.31 is: 6,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.90 : 11,694.06 = 4,096.31 : x
  2. Step 2: Convert to fraction form
    7,791.90/11,694.06 = 4,096.31/x
  3. Step 3: Cross multiply
    7,791.90x = 11,694.06 × 4,096.31
  4. Step 4: Simplify right side
    7,791.90x = 47,902,436.45
  5. Step 5: Solve for x
    x = 47,902,436.45/7,791.90
  6. Step 6: Final answer
    x = 6,147.72

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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.