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Finding the Fourth Proportional to 11,634, 17,450.94 and 6,450.84

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Solution

The fourth proportional to 11,634, 17,450.94 and 6,450.84 is: 9,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634 : 17,450.94 = 6,450.84 : x
  2. Step 2: Convert to fraction form
    11,634/17,450.94 = 6,450.84/x
  3. Step 3: Cross multiply
    11,634x = 17,450.94 × 6,450.84
  4. Step 4: Simplify right side
    11,634x = 112,573,221.79
  5. Step 5: Solve for x
    x = 112,573,221.79/11,634
  6. Step 6: Final answer
    x = 9,676.23

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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.