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Finding the Fourth Proportional to 6,622.97, 9,927.97 and 3,162.65

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Solution

The fourth proportional to 6,622.97, 9,927.97 and 3,162.65 is: 4,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.97 : 9,927.97 = 3,162.65 : x
  2. Step 2: Convert to fraction form
    6,622.97/9,927.97 = 3,162.65/x
  3. Step 3: Cross multiply
    6,622.97x = 9,927.97 × 3,162.65
  4. Step 4: Simplify right side
    6,622.97x = 31,398,636.77
  5. Step 5: Solve for x
    x = 31,398,636.77/6,622.97
  6. Step 6: Final answer
    x = 4,740.87

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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.