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Finding the Fourth Proportional to 7,861.26, 11,765.97 and 6,997.26

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Solution

The fourth proportional to 7,861.26, 11,765.97 and 6,997.26 is: 10,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.26 : 11,765.97 = 6,997.26 : x
  2. Step 2: Convert to fraction form
    7,861.26/11,765.97 = 6,997.26/x
  3. Step 3: Cross multiply
    7,861.26x = 11,765.97 × 6,997.26
  4. Step 4: Simplify right side
    7,861.26x = 82,329,551.24
  5. Step 5: Solve for x
    x = 82,329,551.24/7,861.26
  6. Step 6: Final answer
    x = 10,472.82

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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.