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Finding the Fourth Proportional to 8,375.37, 11,546.46 and 8,116.58

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Solution

The fourth proportional to 8,375.37, 11,546.46 and 8,116.58 is: 11,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.37 : 11,546.46 = 8,116.58 : x
  2. Step 2: Convert to fraction form
    8,375.37/11,546.46 = 8,116.58/x
  3. Step 3: Cross multiply
    8,375.37x = 11,546.46 × 8,116.58
  4. Step 4: Simplify right side
    8,375.37x = 93,717,708.57
  5. Step 5: Solve for x
    x = 93,717,708.57/8,375.37
  6. Step 6: Final answer
    x = 11,189.68

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Half scale
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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.