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Finding the Fourth Proportional to 6,634.85, 9,151.38 and 5,633.21

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Solution

The fourth proportional to 6,634.85, 9,151.38 and 5,633.21 is: 7,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.85 : 9,151.38 = 5,633.21 : x
  2. Step 2: Convert to fraction form
    6,634.85/9,151.38 = 5,633.21/x
  3. Step 3: Cross multiply
    6,634.85x = 9,151.38 × 5,633.21
  4. Step 4: Simplify right side
    6,634.85x = 51,551,668.21
  5. Step 5: Solve for x
    x = 51,551,668.21/6,634.85
  6. Step 6: Final answer
    x = 7,769.84

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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.