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Finding the Fourth Proportional to 9,658.26, 14,489.46 and 5,500.26

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Solution

The fourth proportional to 9,658.26, 14,489.46 and 5,500.26 is: 8,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.26 : 14,489.46 = 5,500.26 : x
  2. Step 2: Convert to fraction form
    9,658.26/14,489.46 = 5,500.26/x
  3. Step 3: Cross multiply
    9,658.26x = 14,489.46 × 5,500.26
  4. Step 4: Simplify right side
    9,658.26x = 79,695,797.26
  5. Step 5: Solve for x
    x = 79,695,797.26/9,658.26
  6. Step 6: Final answer
    x = 8,251.57

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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.