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Finding the Fourth Proportional to 6,197.15, 8,559.17 and 4,082.15

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Solution

The fourth proportional to 6,197.15, 8,559.17 and 4,082.15 is: 5,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.15 : 8,559.17 = 4,082.15 : x
  2. Step 2: Convert to fraction form
    6,197.15/8,559.17 = 4,082.15/x
  3. Step 3: Cross multiply
    6,197.15x = 8,559.17 × 4,082.15
  4. Step 4: Simplify right side
    6,197.15x = 34,939,783.23
  5. Step 5: Solve for x
    x = 34,939,783.23/6,197.15
  6. Step 6: Final answer
    x = 5,638.04

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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.