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Finding the Fourth Proportional to 6,445.71, 9,668.18 and 1,766.43

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Solution

The fourth proportional to 6,445.71, 9,668.18 and 1,766.43 is: 2,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.71 : 9,668.18 = 1,766.43 : x
  2. Step 2: Convert to fraction form
    6,445.71/9,668.18 = 1,766.43/x
  3. Step 3: Cross multiply
    6,445.71x = 9,668.18 × 1,766.43
  4. Step 4: Simplify right side
    6,445.71x = 17,078,167.61
  5. Step 5: Solve for x
    x = 17,078,167.61/6,445.71
  6. Step 6: Final answer
    x = 2,649.54

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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.