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Finding the Fourth Proportional to 7,723.08, 10,589.08 and 7,649.27

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Solution

The fourth proportional to 7,723.08, 10,589.08 and 7,649.27 is: 10,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.08 : 10,589.08 = 7,649.27 : x
  2. Step 2: Convert to fraction form
    7,723.08/10,589.08 = 7,649.27/x
  3. Step 3: Cross multiply
    7,723.08x = 10,589.08 × 7,649.27
  4. Step 4: Simplify right side
    7,723.08x = 80,998,731.97
  5. Step 5: Solve for x
    x = 80,998,731.97/7,723.08
  6. Step 6: Final answer
    x = 10,487.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.