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Finding the Fourth Proportional to 11,701.44, 17,529 and 6,146.46

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Solution

The fourth proportional to 11,701.44, 17,529 and 6,146.46 is: 9,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.44 : 17,529 = 6,146.46 : x
  2. Step 2: Convert to fraction form
    11,701.44/17,529 = 6,146.46/x
  3. Step 3: Cross multiply
    11,701.44x = 17,529 × 6,146.46
  4. Step 4: Simplify right side
    11,701.44x = 107,741,297.34
  5. Step 5: Solve for x
    x = 107,741,297.34/11,701.44
  6. Step 6: Final answer
    x = 9,207.52

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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.