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Finding the Fourth Proportional to 6,048, 9,093.92 and 5,566.88

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Solution

The fourth proportional to 6,048, 9,093.92 and 5,566.88 is: 8,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 9,093.92 = 5,566.88 : x
  2. Step 2: Convert to fraction form
    6,048/9,093.92 = 5,566.88/x
  3. Step 3: Cross multiply
    6,048x = 9,093.92 × 5,566.88
  4. Step 4: Simplify right side
    6,048x = 50,624,761.37
  5. Step 5: Solve for x
    x = 50,624,761.37/6,048
  6. Step 6: Final answer
    x = 8,370.50

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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.