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Finding the Fourth Proportional to 6,623.08, 9,935.70 and 2,005

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Solution

The fourth proportional to 6,623.08, 9,935.70 and 2,005 is: 3,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623.08 : 9,935.70 = 2,005 : x
  2. Step 2: Convert to fraction form
    6,623.08/9,935.70 = 2,005/x
  3. Step 3: Cross multiply
    6,623.08x = 9,935.70 × 2,005
  4. Step 4: Simplify right side
    6,623.08x = 19,921,078.50
  5. Step 5: Solve for x
    x = 19,921,078.50/6,623.08
  6. Step 6: Final answer
    x = 3,007.83

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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.