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Finding the Fourth Proportional to 6,676.38, 10,013.81 and 1,746.50

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Solution

The fourth proportional to 6,676.38, 10,013.81 and 1,746.50 is: 2,619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676.38 : 10,013.81 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    6,676.38/10,013.81 = 1,746.50/x
  3. Step 3: Cross multiply
    6,676.38x = 10,013.81 × 1,746.50
  4. Step 4: Simplify right side
    6,676.38x = 17,489,060.36
  5. Step 5: Solve for x
    x = 17,489,060.36/6,676.38
  6. Step 6: Final answer
    x = 2,619.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.