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Finding the Fourth Proportional to 11,969.76, 16,505.76 and 10,296.48

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Solution

The fourth proportional to 11,969.76, 16,505.76 and 10,296.48 is: 14,198.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.76 : 16,505.76 = 10,296.48 : x
  2. Step 2: Convert to fraction form
    11,969.76/16,505.76 = 10,296.48/x
  3. Step 3: Cross multiply
    11,969.76x = 16,505.76 × 10,296.48
  4. Step 4: Simplify right side
    11,969.76x = 169,951,227.72
  5. Step 5: Solve for x
    x = 169,951,227.72/11,969.76
  6. Step 6: Final answer
    x = 14,198.38

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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.