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Finding the Fourth Proportional to 11,676.54, 16,102.74 and 7,690.73

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Solution

The fourth proportional to 11,676.54, 16,102.74 and 7,690.73 is: 10,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.54 : 16,102.74 = 7,690.73 : x
  2. Step 2: Convert to fraction form
    11,676.54/16,102.74 = 7,690.73/x
  3. Step 3: Cross multiply
    11,676.54x = 16,102.74 × 7,690.73
  4. Step 4: Simplify right side
    11,676.54x = 123,841,745.09
  5. Step 5: Solve for x
    x = 123,841,745.09/11,676.54
  6. Step 6: Final answer
    x = 10,606.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.