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Finding the Fourth Proportional to 6,143.50, 9,215.22 and 1,760.95

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Solution

The fourth proportional to 6,143.50, 9,215.22 and 1,760.95 is: 2,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.50 : 9,215.22 = 1,760.95 : x
  2. Step 2: Convert to fraction form
    6,143.50/9,215.22 = 1,760.95/x
  3. Step 3: Cross multiply
    6,143.50x = 9,215.22 × 1,760.95
  4. Step 4: Simplify right side
    6,143.50x = 16,227,541.66
  5. Step 5: Solve for x
    x = 16,227,541.66/6,143.50
  6. Step 6: Final answer
    x = 2,641.42

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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.