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Finding the Fourth Proportional to 9,198.70, 12,696.87 and 6,012.48

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Solution

The fourth proportional to 9,198.70, 12,696.87 and 6,012.48 is: 8,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.70 : 12,696.87 = 6,012.48 : x
  2. Step 2: Convert to fraction form
    9,198.70/12,696.87 = 6,012.48/x
  3. Step 3: Cross multiply
    9,198.70x = 12,696.87 × 6,012.48
  4. Step 4: Simplify right side
    9,198.70x = 76,339,676.94
  5. Step 5: Solve for x
    x = 76,339,676.94/9,198.70
  6. Step 6: Final answer
    x = 8,298.96

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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.