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Finding the Fourth Proportional to 6,797.37, 10,199.54 and 3,099.14

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Solution

The fourth proportional to 6,797.37, 10,199.54 and 3,099.14 is: 4,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.37 : 10,199.54 = 3,099.14 : x
  2. Step 2: Convert to fraction form
    6,797.37/10,199.54 = 3,099.14/x
  3. Step 3: Cross multiply
    6,797.37x = 10,199.54 × 3,099.14
  4. Step 4: Simplify right side
    6,797.37x = 31,609,735.90
  5. Step 5: Solve for x
    x = 31,609,735.90/6,797.37
  6. Step 6: Final answer
    x = 4,650.29

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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.