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Finding the Fourth Proportional to 9,163.28, 13,747.07 and 7,296.23

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Solution

The fourth proportional to 9,163.28, 13,747.07 and 7,296.23 is: 10,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.28 : 13,747.07 = 7,296.23 : x
  2. Step 2: Convert to fraction form
    9,163.28/13,747.07 = 7,296.23/x
  3. Step 3: Cross multiply
    9,163.28x = 13,747.07 × 7,296.23
  4. Step 4: Simplify right side
    9,163.28x = 100,301,837.15
  5. Step 5: Solve for x
    x = 100,301,837.15/9,163.28
  6. Step 6: Final answer
    x = 10,946.06

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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.