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Finding the Fourth Proportional to 8,092.71, 12,136.13 and 2,826.24

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Solution

The fourth proportional to 8,092.71, 12,136.13 and 2,826.24 is: 4,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.71 : 12,136.13 = 2,826.24 : x
  2. Step 2: Convert to fraction form
    8,092.71/12,136.13 = 2,826.24/x
  3. Step 3: Cross multiply
    8,092.71x = 12,136.13 × 2,826.24
  4. Step 4: Simplify right side
    8,092.71x = 34,299,632.26
  5. Step 5: Solve for x
    x = 34,299,632.26/8,092.71
  6. Step 6: Final answer
    x = 4,238.34

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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.