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Finding the Fourth Proportional to 6,478.56, 9,719.46 and 2,096.46

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Solution

The fourth proportional to 6,478.56, 9,719.46 and 2,096.46 is: 3,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.56 : 9,719.46 = 2,096.46 : x
  2. Step 2: Convert to fraction form
    6,478.56/9,719.46 = 2,096.46/x
  3. Step 3: Cross multiply
    6,478.56x = 9,719.46 × 2,096.46
  4. Step 4: Simplify right side
    6,478.56x = 20,376,459.11
  5. Step 5: Solve for x
    x = 20,376,459.11/6,478.56
  6. Step 6: Final answer
    x = 3,145.21

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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.