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Finding the Fourth Proportional to 11,996.28, 17,971.92 and 7,051.14

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Solution

The fourth proportional to 11,996.28, 17,971.92 and 7,051.14 is: 10,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.28 : 17,971.92 = 7,051.14 : x
  2. Step 2: Convert to fraction form
    11,996.28/17,971.92 = 7,051.14/x
  3. Step 3: Cross multiply
    11,996.28x = 17,971.92 × 7,051.14
  4. Step 4: Simplify right side
    11,996.28x = 126,722,523.99
  5. Step 5: Solve for x
    x = 126,722,523.99/11,996.28
  6. Step 6: Final answer
    x = 10,563.49

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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.