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Finding the Fourth Proportional to 11,696.46, 17,544.75 and 7,563.03

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Solution

The fourth proportional to 11,696.46, 17,544.75 and 7,563.03 is: 11,344.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.46 : 17,544.75 = 7,563.03 : x
  2. Step 2: Convert to fraction form
    11,696.46/17,544.75 = 7,563.03/x
  3. Step 3: Cross multiply
    11,696.46x = 17,544.75 × 7,563.03
  4. Step 4: Simplify right side
    11,696.46x = 132,691,470.59
  5. Step 5: Solve for x
    x = 132,691,470.59/11,696.46
  6. Step 6: Final answer
    x = 11,344.58

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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.