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Finding the Fourth Proportional to 6,841.43, 10,258.02 and 2,676.47

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Solution

The fourth proportional to 6,841.43, 10,258.02 and 2,676.47 is: 4,013.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.43 : 10,258.02 = 2,676.47 : x
  2. Step 2: Convert to fraction form
    6,841.43/10,258.02 = 2,676.47/x
  3. Step 3: Cross multiply
    6,841.43x = 10,258.02 × 2,676.47
  4. Step 4: Simplify right side
    6,841.43x = 27,455,231.50
  5. Step 5: Solve for x
    x = 27,455,231.50/6,841.43
  6. Step 6: Final answer
    x = 4,013.08

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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.