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Finding the Fourth Proportional to 6,967.11, 9,615.48 and 3,982.53

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Solution

The fourth proportional to 6,967.11, 9,615.48 and 3,982.53 is: 5,496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.11 : 9,615.48 = 3,982.53 : x
  2. Step 2: Convert to fraction form
    6,967.11/9,615.48 = 3,982.53/x
  3. Step 3: Cross multiply
    6,967.11x = 9,615.48 × 3,982.53
  4. Step 4: Simplify right side
    6,967.11x = 38,293,937.56
  5. Step 5: Solve for x
    x = 38,293,937.56/6,967.11
  6. Step 6: Final answer
    x = 5,496.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.