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Finding the Fourth Proportional to 11,996.49, 17,994.74 and 6,149.37

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Solution

The fourth proportional to 11,996.49, 17,994.74 and 6,149.37 is: 9,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.49 : 17,994.74 = 6,149.37 : x
  2. Step 2: Convert to fraction form
    11,996.49/17,994.74 = 6,149.37/x
  3. Step 3: Cross multiply
    11,996.49x = 17,994.74 × 6,149.37
  4. Step 4: Simplify right side
    11,996.49x = 110,656,283.57
  5. Step 5: Solve for x
    x = 110,656,283.57/11,996.49
  6. Step 6: Final answer
    x = 9,224.06

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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.