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Finding the Fourth Proportional to 9,532.88, 14,286.17 and 6,879.24

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Solution

The fourth proportional to 9,532.88, 14,286.17 and 6,879.24 is: 10,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.88 : 14,286.17 = 6,879.24 : x
  2. Step 2: Convert to fraction form
    9,532.88/14,286.17 = 6,879.24/x
  3. Step 3: Cross multiply
    9,532.88x = 14,286.17 × 6,879.24
  4. Step 4: Simplify right side
    9,532.88x = 98,277,992.11
  5. Step 5: Solve for x
    x = 98,277,992.11/9,532.88
  6. Step 6: Final answer
    x = 10,309.37

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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.