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Finding the Fourth Proportional to 6,663.09, 9,995.72 and 2,046.09

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Solution

The fourth proportional to 6,663.09, 9,995.72 and 2,046.09 is: 3,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.09 : 9,995.72 = 2,046.09 : x
  2. Step 2: Convert to fraction form
    6,663.09/9,995.72 = 2,046.09/x
  3. Step 3: Cross multiply
    6,663.09x = 9,995.72 × 2,046.09
  4. Step 4: Simplify right side
    6,663.09x = 20,452,132.50
  5. Step 5: Solve for x
    x = 20,452,132.50/6,663.09
  6. Step 6: Final answer
    x = 3,069.47

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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.