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Finding the Fourth Proportional to 11,496.70, 17,266.91 and 7,144.57

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Solution

The fourth proportional to 11,496.70, 17,266.91 and 7,144.57 is: 10,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.70 : 17,266.91 = 7,144.57 : x
  2. Step 2: Convert to fraction form
    11,496.70/17,266.91 = 7,144.57/x
  3. Step 3: Cross multiply
    11,496.70x = 17,266.91 × 7,144.57
  4. Step 4: Simplify right side
    11,496.70x = 123,364,560.84
  5. Step 5: Solve for x
    x = 123,364,560.84/11,496.70
  6. Step 6: Final answer
    x = 10,730.44

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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.