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Finding the Fourth Proportional to 9,264.17, 12,786.53 and 5,906.21

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Solution

The fourth proportional to 9,264.17, 12,786.53 and 5,906.21 is: 8,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.17 : 12,786.53 = 5,906.21 : x
  2. Step 2: Convert to fraction form
    9,264.17/12,786.53 = 5,906.21/x
  3. Step 3: Cross multiply
    9,264.17x = 12,786.53 × 5,906.21
  4. Step 4: Simplify right side
    9,264.17x = 75,519,882.18
  5. Step 5: Solve for x
    x = 75,519,882.18/9,264.17
  6. Step 6: Final answer
    x = 8,151.83

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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.