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Finding the Fourth Proportional to 6,343.42, 9,516.04 and 1,961.22

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Solution

The fourth proportional to 6,343.42, 9,516.04 and 1,961.22 is: 2,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.42 : 9,516.04 = 1,961.22 : x
  2. Step 2: Convert to fraction form
    6,343.42/9,516.04 = 1,961.22/x
  3. Step 3: Cross multiply
    6,343.42x = 9,516.04 × 1,961.22
  4. Step 4: Simplify right side
    6,343.42x = 18,663,052.87
  5. Step 5: Solve for x
    x = 18,663,052.87/6,343.42
  6. Step 6: Final answer
    x = 2,942.11

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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.