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Finding the Fourth Proportional to 6,615.13, 9,914.48 and 3,651.06

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Solution

The fourth proportional to 6,615.13, 9,914.48 and 3,651.06 is: 5,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,615.13 : 9,914.48 = 3,651.06 : x
  2. Step 2: Convert to fraction form
    6,615.13/9,914.48 = 3,651.06/x
  3. Step 3: Cross multiply
    6,615.13x = 9,914.48 × 3,651.06
  4. Step 4: Simplify right side
    6,615.13x = 36,198,361.35
  5. Step 5: Solve for x
    x = 36,198,361.35/6,615.13
  6. Step 6: Final answer
    x = 5,472.06

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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.