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Finding the Fourth Proportional to 6,716.97, 10,054.40 and 4,243.23

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Solution

The fourth proportional to 6,716.97, 10,054.40 and 4,243.23 is: 6,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.97 : 10,054.40 = 4,243.23 : x
  2. Step 2: Convert to fraction form
    6,716.97/10,054.40 = 4,243.23/x
  3. Step 3: Cross multiply
    6,716.97x = 10,054.40 × 4,243.23
  4. Step 4: Simplify right side
    6,716.97x = 42,663,110.50
  5. Step 5: Solve for x
    x = 42,663,110.50/6,716.97
  6. Step 6: Final answer
    x = 6,351.54

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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.