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Finding the Fourth Proportional to 6,169.23, 8,513.03 and 3,516.14

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Solution

The fourth proportional to 6,169.23, 8,513.03 and 3,516.14 is: 4,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.23 : 8,513.03 = 3,516.14 : x
  2. Step 2: Convert to fraction form
    6,169.23/8,513.03 = 3,516.14/x
  3. Step 3: Cross multiply
    6,169.23x = 8,513.03 × 3,516.14
  4. Step 4: Simplify right side
    6,169.23x = 29,933,035.38
  5. Step 5: Solve for x
    x = 29,933,035.38/6,169.23
  6. Step 6: Final answer
    x = 4,851.99

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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.