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Finding the Fourth Proportional to 6,961.50, 9,606.87 and 3,817.70

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Solution

The fourth proportional to 6,961.50, 9,606.87 and 3,817.70 is: 5,268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.50 : 9,606.87 = 3,817.70 : x
  2. Step 2: Convert to fraction form
    6,961.50/9,606.87 = 3,817.70/x
  3. Step 3: Cross multiply
    6,961.50x = 9,606.87 × 3,817.70
  4. Step 4: Simplify right side
    6,961.50x = 36,676,099.56
  5. Step 5: Solve for x
    x = 36,676,099.56/6,961.50
  6. Step 6: Final answer
    x = 5,268.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.