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Finding the Fourth Proportional to 8,195.94, 12,294.69 and 3,264.42

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Solution

The fourth proportional to 8,195.94, 12,294.69 and 3,264.42 is: 4,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.94 : 12,294.69 = 3,264.42 : x
  2. Step 2: Convert to fraction form
    8,195.94/12,294.69 = 3,264.42/x
  3. Step 3: Cross multiply
    8,195.94x = 12,294.69 × 3,264.42
  4. Step 4: Simplify right side
    8,195.94x = 40,135,031.93
  5. Step 5: Solve for x
    x = 40,135,031.93/8,195.94
  6. Step 6: Final answer
    x = 4,896.94

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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.