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Finding the Fourth Proportional to 12,773.22, 17,611.20 and 8,049.30

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Solution

The fourth proportional to 12,773.22, 17,611.20 and 8,049.30 is: 11,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.22 : 17,611.20 = 8,049.30 : x
  2. Step 2: Convert to fraction form
    12,773.22/17,611.20 = 8,049.30/x
  3. Step 3: Cross multiply
    12,773.22x = 17,611.20 × 8,049.30
  4. Step 4: Simplify right side
    12,773.22x = 141,757,832.16
  5. Step 5: Solve for x
    x = 141,757,832.16/12,773.22
  6. Step 6: Final answer
    x = 11,098.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.