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Finding the Fourth Proportional to 6,012.52, 9,019.50 and 2,116.12

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Solution

The fourth proportional to 6,012.52, 9,019.50 and 2,116.12 is: 3,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.52 : 9,019.50 = 2,116.12 : x
  2. Step 2: Convert to fraction form
    6,012.52/9,019.50 = 2,116.12/x
  3. Step 3: Cross multiply
    6,012.52x = 9,019.50 × 2,116.12
  4. Step 4: Simplify right side
    6,012.52x = 19,086,344.34
  5. Step 5: Solve for x
    x = 19,086,344.34/6,012.52
  6. Step 6: Final answer
    x = 3,174.43

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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.