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Finding the Fourth Proportional to 6,797.34, 10,197.60 and 3,100.14

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Solution

The fourth proportional to 6,797.34, 10,197.60 and 3,100.14 is: 4,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.34 : 10,197.60 = 3,100.14 : x
  2. Step 2: Convert to fraction form
    6,797.34/10,197.60 = 3,100.14/x
  3. Step 3: Cross multiply
    6,797.34x = 10,197.60 × 3,100.14
  4. Step 4: Simplify right side
    6,797.34x = 31,613,987.66
  5. Step 5: Solve for x
    x = 31,613,987.66/6,797.34
  6. Step 6: Final answer
    x = 4,650.94

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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.