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Finding the Fourth Proportional to 23,529, 35,292.49 and 5,998.31

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Solution

The fourth proportional to 23,529, 35,292.49 and 5,998.31 is: 8,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 35,292.49 = 5,998.31 : x
  2. Step 2: Convert to fraction form
    23,529/35,292.49 = 5,998.31/x
  3. Step 3: Cross multiply
    23,529x = 35,292.49 × 5,998.31
  4. Step 4: Simplify right side
    23,529x = 211,695,295.69
  5. Step 5: Solve for x
    x = 211,695,295.69/23,529
  6. Step 6: Final answer
    x = 8,997.21

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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.