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Finding the Fourth Proportional to 8,227.73, 12,334.64 and 3,294.66

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Solution

The fourth proportional to 8,227.73, 12,334.64 and 3,294.66 is: 4,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.73 : 12,334.64 = 3,294.66 : x
  2. Step 2: Convert to fraction form
    8,227.73/12,334.64 = 3,294.66/x
  3. Step 3: Cross multiply
    8,227.73x = 12,334.64 × 3,294.66
  4. Step 4: Simplify right side
    8,227.73x = 40,638,428.55
  5. Step 5: Solve for x
    x = 40,638,428.55/8,227.73
  6. Step 6: Final answer
    x = 4,939.21

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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.