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Finding the Fourth Proportional to 6,343.41, 9,516.02 and 1,961.21

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Solution

The fourth proportional to 6,343.41, 9,516.02 and 1,961.21 is: 2,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.41 : 9,516.02 = 1,961.21 : x
  2. Step 2: Convert to fraction form
    6,343.41/9,516.02 = 1,961.21/x
  3. Step 3: Cross multiply
    6,343.41x = 9,516.02 × 1,961.21
  4. Step 4: Simplify right side
    6,343.41x = 18,662,866.00
  5. Step 5: Solve for x
    x = 18,662,866.00/6,343.41
  6. Step 6: Final answer
    x = 2,942.09

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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.