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Finding the Fourth Proportional to 11,494, 17,244.08 and 6,227.77

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Solution

The fourth proportional to 11,494, 17,244.08 and 6,227.77 is: 9,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494 : 17,244.08 = 6,227.77 : x
  2. Step 2: Convert to fraction form
    11,494/17,244.08 = 6,227.77/x
  3. Step 3: Cross multiply
    11,494x = 17,244.08 × 6,227.77
  4. Step 4: Simplify right side
    11,494x = 107,392,164.10
  5. Step 5: Solve for x
    x = 107,392,164.10/11,494
  6. Step 6: Final answer
    x = 9,343.32

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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.