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Finding the Fourth Proportional to 7,832.52, 10,744.48 and 7,408.80

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Solution

The fourth proportional to 7,832.52, 10,744.48 and 7,408.80 is: 10,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 10,744.48 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    7,832.52/10,744.48 = 7,408.80/x
  3. Step 3: Cross multiply
    7,832.52x = 10,744.48 × 7,408.80
  4. Step 4: Simplify right side
    7,832.52x = 79,603,703.42
  5. Step 5: Solve for x
    x = 79,603,703.42/7,832.52
  6. Step 6: Final answer
    x = 10,163.23

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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.