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Finding the Fourth Proportional to 6,111.52, 9,167.18 and 1,951.50

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Solution

The fourth proportional to 6,111.52, 9,167.18 and 1,951.50 is: 2,927.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.52 : 9,167.18 = 1,951.50 : x
  2. Step 2: Convert to fraction form
    6,111.52/9,167.18 = 1,951.50/x
  3. Step 3: Cross multiply
    6,111.52x = 9,167.18 × 1,951.50
  4. Step 4: Simplify right side
    6,111.52x = 17,889,723.97
  5. Step 5: Solve for x
    x = 17,889,723.97/6,111.52
  6. Step 6: Final answer
    x = 2,927.22

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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.