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Finding the Fourth Proportional to 6,833.68, 10,253.10 and 2,676.66

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Solution

The fourth proportional to 6,833.68, 10,253.10 and 2,676.66 is: 4,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.68 : 10,253.10 = 2,676.66 : x
  2. Step 2: Convert to fraction form
    6,833.68/10,253.10 = 2,676.66/x
  3. Step 3: Cross multiply
    6,833.68x = 10,253.10 × 2,676.66
  4. Step 4: Simplify right side
    6,833.68x = 27,444,062.65
  5. Step 5: Solve for x
    x = 27,444,062.65/6,833.68
  6. Step 6: Final answer
    x = 4,016.00

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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.