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Finding the Fourth Proportional to 6,185.57, 9,264 and 6,139.48

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Solution

The fourth proportional to 6,185.57, 9,264 and 6,139.48 is: 9,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.57 : 9,264 = 6,139.48 : x
  2. Step 2: Convert to fraction form
    6,185.57/9,264 = 6,139.48/x
  3. Step 3: Cross multiply
    6,185.57x = 9,264 × 6,139.48
  4. Step 4: Simplify right side
    6,185.57x = 56,876,142.72
  5. Step 5: Solve for x
    x = 56,876,142.72/6,185.57
  6. Step 6: Final answer
    x = 9,194.97

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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.