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Finding the Fourth Proportional to 6,197.42, 8,552.04 and 3,679.40

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Solution

The fourth proportional to 6,197.42, 8,552.04 and 3,679.40 is: 5,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.42 : 8,552.04 = 3,679.40 : x
  2. Step 2: Convert to fraction form
    6,197.42/8,552.04 = 3,679.40/x
  3. Step 3: Cross multiply
    6,197.42x = 8,552.04 × 3,679.40
  4. Step 4: Simplify right side
    6,197.42x = 31,466,383.56
  5. Step 5: Solve for x
    x = 31,466,383.56/6,197.42
  6. Step 6: Final answer
    x = 5,077.33

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1.5x scale

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.