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Finding the Fourth Proportional to 6,731.06, 10,096.01 and 4,097.88

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Solution

The fourth proportional to 6,731.06, 10,096.01 and 4,097.88 is: 6,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.06 : 10,096.01 = 4,097.88 : x
  2. Step 2: Convert to fraction form
    6,731.06/10,096.01 = 4,097.88/x
  3. Step 3: Cross multiply
    6,731.06x = 10,096.01 × 4,097.88
  4. Step 4: Simplify right side
    6,731.06x = 41,372,201.97
  5. Step 5: Solve for x
    x = 41,372,201.97/6,731.06
  6. Step 6: Final answer
    x = 6,146.46

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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.