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Finding the Fourth Proportional to 6,396.75, 9,594.29 and 2,014.25

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Solution

The fourth proportional to 6,396.75, 9,594.29 and 2,014.25 is: 3,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.75 : 9,594.29 = 2,014.25 : x
  2. Step 2: Convert to fraction form
    6,396.75/9,594.29 = 2,014.25/x
  3. Step 3: Cross multiply
    6,396.75x = 9,594.29 × 2,014.25
  4. Step 4: Simplify right side
    6,396.75x = 19,325,255.70
  5. Step 5: Solve for x
    x = 19,325,255.70/6,396.75
  6. Step 6: Final answer
    x = 3,021.11

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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.