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Finding the Fourth Proportional to 8,249.54, 11,385.86 and 4,894.31

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Solution

The fourth proportional to 8,249.54, 11,385.86 and 4,894.31 is: 6,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.54 : 11,385.86 = 4,894.31 : x
  2. Step 2: Convert to fraction form
    8,249.54/11,385.86 = 4,894.31/x
  3. Step 3: Cross multiply
    8,249.54x = 11,385.86 × 4,894.31
  4. Step 4: Simplify right side
    8,249.54x = 55,725,847.06
  5. Step 5: Solve for x
    x = 55,725,847.06/8,249.54
  6. Step 6: Final answer
    x = 6,755.03

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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.