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Finding the Fourth Proportional to 12,251.69, 16,906.82 and 6,946.86

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Solution

The fourth proportional to 12,251.69, 16,906.82 and 6,946.86 is: 9,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.69 : 16,906.82 = 6,946.86 : x
  2. Step 2: Convert to fraction form
    12,251.69/16,906.82 = 6,946.86/x
  3. Step 3: Cross multiply
    12,251.69x = 16,906.82 × 6,946.86
  4. Step 4: Simplify right side
    12,251.69x = 117,449,276.85
  5. Step 5: Solve for x
    x = 117,449,276.85/12,251.69
  6. Step 6: Final answer
    x = 9,586.38

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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.