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Finding the Fourth Proportional to 12,197.98, 18,311.54 and 7,269.94

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Solution

The fourth proportional to 12,197.98, 18,311.54 and 7,269.94 is: 10,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.98 : 18,311.54 = 7,269.94 : x
  2. Step 2: Convert to fraction form
    12,197.98/18,311.54 = 7,269.94/x
  3. Step 3: Cross multiply
    12,197.98x = 18,311.54 × 7,269.94
  4. Step 4: Simplify right side
    12,197.98x = 133,123,797.11
  5. Step 5: Solve for x
    x = 133,123,797.11/12,197.98
  6. Step 6: Final answer
    x = 10,913.59

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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.