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Finding the Fourth Proportional to 6,348.78, 9,524.77 and 3,230.49

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Solution

The fourth proportional to 6,348.78, 9,524.77 and 3,230.49 is: 4,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.78 : 9,524.77 = 3,230.49 : x
  2. Step 2: Convert to fraction form
    6,348.78/9,524.77 = 3,230.49/x
  3. Step 3: Cross multiply
    6,348.78x = 9,524.77 × 3,230.49
  4. Step 4: Simplify right side
    6,348.78x = 30,769,674.24
  5. Step 5: Solve for x
    x = 30,769,674.24/6,348.78
  6. Step 6: Final answer
    x = 4,846.55

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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.