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Finding the Fourth Proportional to 11,661.13, 17,491.56 and 6,982.44

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Solution

The fourth proportional to 11,661.13, 17,491.56 and 6,982.44 is: 10,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.13 : 17,491.56 = 6,982.44 : x
  2. Step 2: Convert to fraction form
    11,661.13/17,491.56 = 6,982.44/x
  3. Step 3: Cross multiply
    11,661.13x = 17,491.56 × 6,982.44
  4. Step 4: Simplify right side
    11,661.13x = 122,133,768.21
  5. Step 5: Solve for x
    x = 122,133,768.21/11,661.13
  6. Step 6: Final answer
    x = 10,473.58

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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.