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Finding the Fourth Proportional to 9,996.87, 13,797.46 and 5,963.95

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Solution

The fourth proportional to 9,996.87, 13,797.46 and 5,963.95 is: 8,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.87 : 13,797.46 = 5,963.95 : x
  2. Step 2: Convert to fraction form
    9,996.87/13,797.46 = 5,963.95/x
  3. Step 3: Cross multiply
    9,996.87x = 13,797.46 × 5,963.95
  4. Step 4: Simplify right side
    9,996.87x = 82,287,361.57
  5. Step 5: Solve for x
    x = 82,287,361.57/9,996.87
  6. Step 6: Final answer
    x = 8,231.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.