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Finding the Fourth Proportional to 3,424.01, 5,136.01 and 826.94

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Solution

The fourth proportional to 3,424.01, 5,136.01 and 826.94 is: 1,240.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.01 : 5,136.01 = 826.94 : x
  2. Step 2: Convert to fraction form
    3,424.01/5,136.01 = 826.94/x
  3. Step 3: Cross multiply
    3,424.01x = 5,136.01 × 826.94
  4. Step 4: Simplify right side
    3,424.01x = 4,247,182.88
  5. Step 5: Solve for x
    x = 4,247,182.88/3,424.01
  6. Step 6: Final answer
    x = 1,240.41

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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.