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Finding the Fourth Proportional to 8,194.77, 11,305.17 and 5,052.78

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Solution

The fourth proportional to 8,194.77, 11,305.17 and 5,052.78 is: 6,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.77 : 11,305.17 = 5,052.78 : x
  2. Step 2: Convert to fraction form
    8,194.77/11,305.17 = 5,052.78/x
  3. Step 3: Cross multiply
    8,194.77x = 11,305.17 × 5,052.78
  4. Step 4: Simplify right side
    8,194.77x = 57,122,536.87
  5. Step 5: Solve for x
    x = 57,122,536.87/8,194.77
  6. Step 6: Final answer
    x = 6,970.61

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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.