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Finding the Fourth Proportional to 11,249.52, 15,524.04 and 6,213.48

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Solution

The fourth proportional to 11,249.52, 15,524.04 and 6,213.48 is: 8,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.52 : 15,524.04 = 6,213.48 : x
  2. Step 2: Convert to fraction form
    11,249.52/15,524.04 = 6,213.48/x
  3. Step 3: Cross multiply
    11,249.52x = 15,524.04 × 6,213.48
  4. Step 4: Simplify right side
    11,249.52x = 96,458,312.06
  5. Step 5: Solve for x
    x = 96,458,312.06/11,249.52
  6. Step 6: Final answer
    x = 8,574.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.