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Finding the Fourth Proportional to 6,048.53, 9,073.86 and 2,761.95

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Solution

The fourth proportional to 6,048.53, 9,073.86 and 2,761.95 is: 4,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.53 : 9,073.86 = 2,761.95 : x
  2. Step 2: Convert to fraction form
    6,048.53/9,073.86 = 2,761.95/x
  3. Step 3: Cross multiply
    6,048.53x = 9,073.86 × 2,761.95
  4. Step 4: Simplify right side
    6,048.53x = 25,061,533.82
  5. Step 5: Solve for x
    x = 25,061,533.82/6,048.53
  6. Step 6: Final answer
    x = 4,143.41

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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.