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Finding the Fourth Proportional to 6,978, 9,630.02 and 3,993.14

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Solution

The fourth proportional to 6,978, 9,630.02 and 3,993.14 is: 5,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978 : 9,630.02 = 3,993.14 : x
  2. Step 2: Convert to fraction form
    6,978/9,630.02 = 3,993.14/x
  3. Step 3: Cross multiply
    6,978x = 9,630.02 × 3,993.14
  4. Step 4: Simplify right side
    6,978x = 38,454,018.06
  5. Step 5: Solve for x
    x = 38,454,018.06/6,978
  6. Step 6: Final answer
    x = 5,510.75

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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.