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Finding the Fourth Proportional to 12,676.29, 18,993.92 and 7,730.97

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Solution

The fourth proportional to 12,676.29, 18,993.92 and 7,730.97 is: 11,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.29 : 18,993.92 = 7,730.97 : x
  2. Step 2: Convert to fraction form
    12,676.29/18,993.92 = 7,730.97/x
  3. Step 3: Cross multiply
    12,676.29x = 18,993.92 × 7,730.97
  4. Step 4: Simplify right side
    12,676.29x = 146,841,387.05
  5. Step 5: Solve for x
    x = 146,841,387.05/12,676.29
  6. Step 6: Final answer
    x = 11,583.94

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1.5x scale

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.