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Finding the Fourth Proportional to 6,013.88, 9,020.79 and 1,631.32

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Solution

The fourth proportional to 6,013.88, 9,020.79 and 1,631.32 is: 2,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.88 : 9,020.79 = 1,631.32 : x
  2. Step 2: Convert to fraction form
    6,013.88/9,020.79 = 1,631.32/x
  3. Step 3: Cross multiply
    6,013.88x = 9,020.79 × 1,631.32
  4. Step 4: Simplify right side
    6,013.88x = 14,715,795.14
  5. Step 5: Solve for x
    x = 14,715,795.14/6,013.88
  6. Step 6: Final answer
    x = 2,446.97

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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.