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Finding the Fourth Proportional to 8,197.95, 12,302.19 and 3,204.30

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Solution

The fourth proportional to 8,197.95, 12,302.19 and 3,204.30 is: 4,808.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.95 : 12,302.19 = 3,204.30 : x
  2. Step 2: Convert to fraction form
    8,197.95/12,302.19 = 3,204.30/x
  3. Step 3: Cross multiply
    8,197.95x = 12,302.19 × 3,204.30
  4. Step 4: Simplify right side
    8,197.95x = 39,419,907.42
  5. Step 5: Solve for x
    x = 39,419,907.42/8,197.95
  6. Step 6: Final answer
    x = 4,808.51

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1.5x scale

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.