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Finding the Fourth Proportional to 6,446.91, 9,668.28 and 2,063.32

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Solution

The fourth proportional to 6,446.91, 9,668.28 and 2,063.32 is: 3,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.91 : 9,668.28 = 2,063.32 : x
  2. Step 2: Convert to fraction form
    6,446.91/9,668.28 = 2,063.32/x
  3. Step 3: Cross multiply
    6,446.91x = 9,668.28 × 2,063.32
  4. Step 4: Simplify right side
    6,446.91x = 19,948,755.49
  5. Step 5: Solve for x
    x = 19,948,755.49/6,446.91
  6. Step 6: Final answer
    x = 3,094.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.