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Finding the Fourth Proportional to 6,416.73, 8,855.16 and 3,764.18

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Solution

The fourth proportional to 6,416.73, 8,855.16 and 3,764.18 is: 5,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.73 : 8,855.16 = 3,764.18 : x
  2. Step 2: Convert to fraction form
    6,416.73/8,855.16 = 3,764.18/x
  3. Step 3: Cross multiply
    6,416.73x = 8,855.16 × 3,764.18
  4. Step 4: Simplify right side
    6,416.73x = 33,332,397.35
  5. Step 5: Solve for x
    x = 33,332,397.35/6,416.73
  6. Step 6: Final answer
    x = 5,194.61

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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.