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Finding the Fourth Proportional to 21,757.12, 32,650.24 and 7,906.12

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Solution

The fourth proportional to 21,757.12, 32,650.24 and 7,906.12 is: 11,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,757.12 : 32,650.24 = 7,906.12 : x
  2. Step 2: Convert to fraction form
    21,757.12/32,650.24 = 7,906.12/x
  3. Step 3: Cross multiply
    21,757.12x = 32,650.24 × 7,906.12
  4. Step 4: Simplify right side
    21,757.12x = 258,136,715.47
  5. Step 5: Solve for x
    x = 258,136,715.47/21,757.12
  6. Step 6: Final answer
    x = 11,864.47

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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.