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Finding the Fourth Proportional to 11,496.14, 17,235.47 and 5,945.95

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Solution

The fourth proportional to 11,496.14, 17,235.47 and 5,945.95 is: 8,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.14 : 17,235.47 = 5,945.95 : x
  2. Step 2: Convert to fraction form
    11,496.14/17,235.47 = 5,945.95/x
  3. Step 3: Cross multiply
    11,496.14x = 17,235.47 × 5,945.95
  4. Step 4: Simplify right side
    11,496.14x = 102,481,279.26
  5. Step 5: Solve for x
    x = 102,481,279.26/11,496.14
  6. Step 6: Final answer
    x = 8,914.41

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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.