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Finding the Fourth Proportional to 12,311.70, 18,467.55 and 7,127.70

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Solution

The fourth proportional to 12,311.70, 18,467.55 and 7,127.70 is: 10,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.70 : 18,467.55 = 7,127.70 : x
  2. Step 2: Convert to fraction form
    12,311.70/18,467.55 = 7,127.70/x
  3. Step 3: Cross multiply
    12,311.70x = 18,467.55 × 7,127.70
  4. Step 4: Simplify right side
    12,311.70x = 131,631,156.14
  5. Step 5: Solve for x
    x = 131,631,156.14/12,311.70
  6. Step 6: Final answer
    x = 10,691.55

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Similar ratio
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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.