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Finding the Fourth Proportional to 12,198.94, 18,298.41 and 2,964.94

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Solution

The fourth proportional to 12,198.94, 18,298.41 and 2,964.94 is: 4,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.94 : 18,298.41 = 2,964.94 : x
  2. Step 2: Convert to fraction form
    12,198.94/18,298.41 = 2,964.94/x
  3. Step 3: Cross multiply
    12,198.94x = 18,298.41 × 2,964.94
  4. Step 4: Simplify right side
    12,198.94x = 54,253,630.88
  5. Step 5: Solve for x
    x = 54,253,630.88/12,198.94
  6. Step 6: Final answer
    x = 4,447.41

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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.