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Finding the Fourth Proportional to 12,006.62, 18,011.18 and 6,743.24

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Solution

The fourth proportional to 12,006.62, 18,011.18 and 6,743.24 is: 10,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.62 : 18,011.18 = 6,743.24 : x
  2. Step 2: Convert to fraction form
    12,006.62/18,011.18 = 6,743.24/x
  3. Step 3: Cross multiply
    12,006.62x = 18,011.18 × 6,743.24
  4. Step 4: Simplify right side
    12,006.62x = 121,453,709.42
  5. Step 5: Solve for x
    x = 121,453,709.42/12,006.62
  6. Step 6: Final answer
    x = 10,115.56

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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.