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Finding the Fourth Proportional to 11,696.88, 17,549.67 and 7,020.24

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Solution

The fourth proportional to 11,696.88, 17,549.67 and 7,020.24 is: 10,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.88 : 17,549.67 = 7,020.24 : x
  2. Step 2: Convert to fraction form
    11,696.88/17,549.67 = 7,020.24/x
  3. Step 3: Cross multiply
    11,696.88x = 17,549.67 × 7,020.24
  4. Step 4: Simplify right side
    11,696.88x = 123,202,895.32
  5. Step 5: Solve for x
    x = 123,202,895.32/11,696.88
  6. Step 6: Final answer
    x = 10,532.97

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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.