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Finding the Fourth Proportional to 6,269.06, 9,407.91 and 2,165.06

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Solution

The fourth proportional to 6,269.06, 9,407.91 and 2,165.06 is: 3,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.06 : 9,407.91 = 2,165.06 : x
  2. Step 2: Convert to fraction form
    6,269.06/9,407.91 = 2,165.06/x
  3. Step 3: Cross multiply
    6,269.06x = 9,407.91 × 2,165.06
  4. Step 4: Simplify right side
    6,269.06x = 20,368,721.26
  5. Step 5: Solve for x
    x = 20,368,721.26/6,269.06
  6. Step 6: Final answer
    x = 3,249.09

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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.