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Finding the Fourth Proportional to 12,198.42, 16,834.16 and 6,893.12

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Solution

The fourth proportional to 12,198.42, 16,834.16 and 6,893.12 is: 9,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.42 : 16,834.16 = 6,893.12 : x
  2. Step 2: Convert to fraction form
    12,198.42/16,834.16 = 6,893.12/x
  3. Step 3: Cross multiply
    12,198.42x = 16,834.16 × 6,893.12
  4. Step 4: Simplify right side
    12,198.42x = 116,039,884.98
  5. Step 5: Solve for x
    x = 116,039,884.98/12,198.42
  6. Step 6: Final answer
    x = 9,512.70

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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.