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Finding the Fourth Proportional to 4,936.44, 7,404.72 and 2,883

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Solution

The fourth proportional to 4,936.44, 7,404.72 and 2,883 is: 4,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.44 : 7,404.72 = 2,883 : x
  2. Step 2: Convert to fraction form
    4,936.44/7,404.72 = 2,883/x
  3. Step 3: Cross multiply
    4,936.44x = 7,404.72 × 2,883
  4. Step 4: Simplify right side
    4,936.44x = 21,347,807.76
  5. Step 5: Solve for x
    x = 21,347,807.76/4,936.44
  6. Step 6: Final answer
    x = 4,324.54

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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.