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Finding the Fourth Proportional to 14,863.98, 20,511.81 and 8,149.44

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Solution

The fourth proportional to 14,863.98, 20,511.81 and 8,149.44 is: 11,245.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.98 : 20,511.81 = 8,149.44 : x
  2. Step 2: Convert to fraction form
    14,863.98/20,511.81 = 8,149.44/x
  3. Step 3: Cross multiply
    14,863.98x = 20,511.81 × 8,149.44
  4. Step 4: Simplify right side
    14,863.98x = 167,159,764.89
  5. Step 5: Solve for x
    x = 167,159,764.89/14,863.98
  6. Step 6: Final answer
    x = 11,245.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.