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Finding the Fourth Proportional to 11,450.30, 17,175 and 4,054.46

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Solution

The fourth proportional to 11,450.30, 17,175 and 4,054.46 is: 6,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.30 : 17,175 = 4,054.46 : x
  2. Step 2: Convert to fraction form
    11,450.30/17,175 = 4,054.46/x
  3. Step 3: Cross multiply
    11,450.30x = 17,175 × 4,054.46
  4. Step 4: Simplify right side
    11,450.30x = 69,635,350.50
  5. Step 5: Solve for x
    x = 69,635,350.50/11,450.30
  6. Step 6: Final answer
    x = 6,081.53

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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.