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Finding the Fourth Proportional to 6,613.34, 9,126.54 and 3,629.14

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Solution

The fourth proportional to 6,613.34, 9,126.54 and 3,629.14 is: 5,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.34 : 9,126.54 = 3,629.14 : x
  2. Step 2: Convert to fraction form
    6,613.34/9,126.54 = 3,629.14/x
  3. Step 3: Cross multiply
    6,613.34x = 9,126.54 × 3,629.14
  4. Step 4: Simplify right side
    6,613.34x = 33,121,491.38
  5. Step 5: Solve for x
    x = 33,121,491.38/6,613.34
  6. Step 6: Final answer
    x = 5,008.28

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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.