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Finding the Fourth Proportional to 11,165.76, 15,409.44 and 6,197.76

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Solution

The fourth proportional to 11,165.76, 15,409.44 and 6,197.76 is: 8,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.76 : 15,409.44 = 6,197.76 : x
  2. Step 2: Convert to fraction form
    11,165.76/15,409.44 = 6,197.76/x
  3. Step 3: Cross multiply
    11,165.76x = 15,409.44 × 6,197.76
  4. Step 4: Simplify right side
    11,165.76x = 95,504,010.85
  5. Step 5: Solve for x
    x = 95,504,010.85/11,165.76
  6. Step 6: Final answer
    x = 8,553.29

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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.