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Finding the Fourth Proportional to 5,228.52, 7,265.39 and 5,163.24

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Solution

The fourth proportional to 5,228.52, 7,265.39 and 5,163.24 is: 7,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.52 : 7,265.39 = 5,163.24 : x
  2. Step 2: Convert to fraction form
    5,228.52/7,265.39 = 5,163.24/x
  3. Step 3: Cross multiply
    5,228.52x = 7,265.39 × 5,163.24
  4. Step 4: Simplify right side
    5,228.52x = 37,512,952.26
  5. Step 5: Solve for x
    x = 37,512,952.26/5,228.52
  6. Step 6: Final answer
    x = 7,174.68

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.