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Finding the Fourth Proportional to 4,682.96, 7,024.41 and 2,747.44

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Solution

The fourth proportional to 4,682.96, 7,024.41 and 2,747.44 is: 4,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.96 : 7,024.41 = 2,747.44 : x
  2. Step 2: Convert to fraction form
    4,682.96/7,024.41 = 2,747.44/x
  3. Step 3: Cross multiply
    4,682.96x = 7,024.41 × 2,747.44
  4. Step 4: Simplify right side
    4,682.96x = 19,299,145.01
  5. Step 5: Solve for x
    x = 19,299,145.01/4,682.96
  6. Step 6: Final answer
    x = 4,121.14

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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.