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Finding the Fourth Proportional to 6,478.81, 9,719.16 and 2,096.44

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Solution

The fourth proportional to 6,478.81, 9,719.16 and 2,096.44 is: 3,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.81 : 9,719.16 = 2,096.44 : x
  2. Step 2: Convert to fraction form
    6,478.81/9,719.16 = 2,096.44/x
  3. Step 3: Cross multiply
    6,478.81x = 9,719.16 × 2,096.44
  4. Step 4: Simplify right side
    6,478.81x = 20,375,635.79
  5. Step 5: Solve for x
    x = 20,375,635.79/6,478.81
  6. Step 6: Final answer
    x = 3,144.97

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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.