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Finding the Fourth Proportional to 6,446.44, 9,668.05 and 1,766.47

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Solution

The fourth proportional to 6,446.44, 9,668.05 and 1,766.47 is: 2,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.44 : 9,668.05 = 1,766.47 : x
  2. Step 2: Convert to fraction form
    6,446.44/9,668.05 = 1,766.47/x
  3. Step 3: Cross multiply
    6,446.44x = 9,668.05 × 1,766.47
  4. Step 4: Simplify right side
    6,446.44x = 17,078,320.28
  5. Step 5: Solve for x
    x = 17,078,320.28/6,446.44
  6. Step 6: Final answer
    x = 2,649.26

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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.