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Finding the Fourth Proportional to 14,861.58, 20,511.07 and 9,198.14

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Solution

The fourth proportional to 14,861.58, 20,511.07 and 9,198.14 is: 12,694.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.58 : 20,511.07 = 9,198.14 : x
  2. Step 2: Convert to fraction form
    14,861.58/20,511.07 = 9,198.14/x
  3. Step 3: Cross multiply
    14,861.58x = 20,511.07 × 9,198.14
  4. Step 4: Simplify right side
    14,861.58x = 188,663,693.41
  5. Step 5: Solve for x
    x = 188,663,693.41/14,861.58
  6. Step 6: Final answer
    x = 12,694.73

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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.