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Finding the Fourth Proportional to 6,481.43, 9,719.76 and 5,097.47

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Solution

The fourth proportional to 6,481.43, 9,719.76 and 5,097.47 is: 7,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.43 : 9,719.76 = 5,097.47 : x
  2. Step 2: Convert to fraction form
    6,481.43/9,719.76 = 5,097.47/x
  3. Step 3: Cross multiply
    6,481.43x = 9,719.76 × 5,097.47
  4. Step 4: Simplify right side
    6,481.43x = 49,546,185.01
  5. Step 5: Solve for x
    x = 49,546,185.01/6,481.43
  6. Step 6: Final answer
    x = 7,644.33

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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.