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Finding the Fourth Proportional to 12,396.97, 18,563.70 and 6,844.15

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Solution

The fourth proportional to 12,396.97, 18,563.70 and 6,844.15 is: 10,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.97 : 18,563.70 = 6,844.15 : x
  2. Step 2: Convert to fraction form
    12,396.97/18,563.70 = 6,844.15/x
  3. Step 3: Cross multiply
    12,396.97x = 18,563.70 × 6,844.15
  4. Step 4: Simplify right side
    12,396.97x = 127,052,654.54
  5. Step 5: Solve for x
    x = 127,052,654.54/12,396.97
  6. Step 6: Final answer
    x = 10,248.69

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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.