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Finding the Fourth Proportional to 6,617.24, 9,914.82 and 4,665.38

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Solution

The fourth proportional to 6,617.24, 9,914.82 and 4,665.38 is: 6,990.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.24 : 9,914.82 = 4,665.38 : x
  2. Step 2: Convert to fraction form
    6,617.24/9,914.82 = 4,665.38/x
  3. Step 3: Cross multiply
    6,617.24x = 9,914.82 × 4,665.38
  4. Step 4: Simplify right side
    6,617.24x = 46,256,402.93
  5. Step 5: Solve for x
    x = 46,256,402.93/6,617.24
  6. Step 6: Final answer
    x = 6,990.29

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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.