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Finding the Fourth Proportional to 11,697.88, 17,551.17 and 7,021.24

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Solution

The fourth proportional to 11,697.88, 17,551.17 and 7,021.24 is: 10,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.88 : 17,551.17 = 7,021.24 : x
  2. Step 2: Convert to fraction form
    11,697.88/17,551.17 = 7,021.24/x
  3. Step 3: Cross multiply
    11,697.88x = 17,551.17 × 7,021.24
  4. Step 4: Simplify right side
    11,697.88x = 123,230,976.85
  5. Step 5: Solve for x
    x = 123,230,976.85/11,697.88
  6. Step 6: Final answer
    x = 10,534.47

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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.