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Finding the Fourth Proportional to 6,463.85, 9,680.39 and 4,491.45

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Solution

The fourth proportional to 6,463.85, 9,680.39 and 4,491.45 is: 6,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.85 : 9,680.39 = 4,491.45 : x
  2. Step 2: Convert to fraction form
    6,463.85/9,680.39 = 4,491.45/x
  3. Step 3: Cross multiply
    6,463.85x = 9,680.39 × 4,491.45
  4. Step 4: Simplify right side
    6,463.85x = 43,478,965.21
  5. Step 5: Solve for x
    x = 43,478,965.21/6,463.85
  6. Step 6: Final answer
    x = 6,726.49

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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.