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Finding the Fourth Proportional to 4,844.92, 6,685.86 and 2,749

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Solution

The fourth proportional to 4,844.92, 6,685.86 and 2,749 is: 3,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.92 : 6,685.86 = 2,749 : x
  2. Step 2: Convert to fraction form
    4,844.92/6,685.86 = 2,749/x
  3. Step 3: Cross multiply
    4,844.92x = 6,685.86 × 2,749
  4. Step 4: Simplify right side
    4,844.92x = 18,379,429.14
  5. Step 5: Solve for x
    x = 18,379,429.14/4,844.92
  6. Step 6: Final answer
    x = 3,793.55

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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.