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Finding the Fourth Proportional to 6,324.56, 9,487.11 and 1,942.19

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Solution

The fourth proportional to 6,324.56, 9,487.11 and 1,942.19 is: 2,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.56 : 9,487.11 = 1,942.19 : x
  2. Step 2: Convert to fraction form
    6,324.56/9,487.11 = 1,942.19/x
  3. Step 3: Cross multiply
    6,324.56x = 9,487.11 × 1,942.19
  4. Step 4: Simplify right side
    6,324.56x = 18,425,770.17
  5. Step 5: Solve for x
    x = 18,425,770.17/6,324.56
  6. Step 6: Final answer
    x = 2,913.37

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Similar ratio
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1.5x scale

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.