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Finding the Fourth Proportional to 4,946.38, 6,826 and 2,738.38

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Solution

The fourth proportional to 4,946.38, 6,826 and 2,738.38 is: 3,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.38 : 6,826 = 2,738.38 : x
  2. Step 2: Convert to fraction form
    4,946.38/6,826 = 2,738.38/x
  3. Step 3: Cross multiply
    4,946.38x = 6,826 × 2,738.38
  4. Step 4: Simplify right side
    4,946.38x = 18,692,147.75
  5. Step 5: Solve for x
    x = 18,692,147.75/4,946.38
  6. Step 6: Final answer
    x = 3,778.96

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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.