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Finding the Fourth Proportional to 12,271.44, 18,412.02 and 7,006.44

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Solution

The fourth proportional to 12,271.44, 18,412.02 and 7,006.44 is: 10,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.44 : 18,412.02 = 7,006.44 : x
  2. Step 2: Convert to fraction form
    12,271.44/18,412.02 = 7,006.44/x
  3. Step 3: Cross multiply
    12,271.44x = 18,412.02 × 7,006.44
  4. Step 4: Simplify right side
    12,271.44x = 129,002,713.41
  5. Step 5: Solve for x
    x = 129,002,713.41/12,271.44
  6. Step 6: Final answer
    x = 10,512.43

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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.