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Finding the Fourth Proportional to 6,957.43, 9,610.46 and 5,185.96

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Solution

The fourth proportional to 6,957.43, 9,610.46 and 5,185.96 is: 7,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.43 : 9,610.46 = 5,185.96 : x
  2. Step 2: Convert to fraction form
    6,957.43/9,610.46 = 5,185.96/x
  3. Step 3: Cross multiply
    6,957.43x = 9,610.46 × 5,185.96
  4. Step 4: Simplify right side
    6,957.43x = 49,839,461.14
  5. Step 5: Solve for x
    x = 49,839,461.14/6,957.43
  6. Step 6: Final answer
    x = 7,163.49

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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.