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Finding the Fourth Proportional to 11,701.28, 17,549.22 and 6,701.96

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Solution

The fourth proportional to 11,701.28, 17,549.22 and 6,701.96 is: 10,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.28 : 17,549.22 = 6,701.96 : x
  2. Step 2: Convert to fraction form
    11,701.28/17,549.22 = 6,701.96/x
  3. Step 3: Cross multiply
    11,701.28x = 17,549.22 × 6,701.96
  4. Step 4: Simplify right side
    11,701.28x = 117,614,170.47
  5. Step 5: Solve for x
    x = 117,614,170.47/11,701.28
  6. Step 6: Final answer
    x = 10,051.39

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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.