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Finding the Fourth Proportional to 8,574.84, 12,863.97 and 4,192.38

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Solution

The fourth proportional to 8,574.84, 12,863.97 and 4,192.38 is: 6,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.84 : 12,863.97 = 4,192.38 : x
  2. Step 2: Convert to fraction form
    8,574.84/12,863.97 = 4,192.38/x
  3. Step 3: Cross multiply
    8,574.84x = 12,863.97 × 4,192.38
  4. Step 4: Simplify right side
    8,574.84x = 53,930,650.55
  5. Step 5: Solve for x
    x = 53,930,650.55/8,574.84
  6. Step 6: Final answer
    x = 6,289.41

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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.