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Finding the Fourth Proportional to 4,494.42, 6,741 and 1,896.75

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Solution

The fourth proportional to 4,494.42, 6,741 and 1,896.75 is: 2,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.42 : 6,741 = 1,896.75 : x
  2. Step 2: Convert to fraction form
    4,494.42/6,741 = 1,896.75/x
  3. Step 3: Cross multiply
    4,494.42x = 6,741 × 1,896.75
  4. Step 4: Simplify right side
    4,494.42x = 12,785,991.75
  5. Step 5: Solve for x
    x = 12,785,991.75/4,494.42
  6. Step 6: Final answer
    x = 2,844.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.