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Finding the Fourth Proportional to 8,493.58, 12,739.74 and 2,650

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Solution

The fourth proportional to 8,493.58, 12,739.74 and 2,650 is: 3,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.58 : 12,739.74 = 2,650 : x
  2. Step 2: Convert to fraction form
    8,493.58/12,739.74 = 2,650/x
  3. Step 3: Cross multiply
    8,493.58x = 12,739.74 × 2,650
  4. Step 4: Simplify right side
    8,493.58x = 33,760,311
  5. Step 5: Solve for x
    x = 33,760,311/8,493.58
  6. Step 6: Final answer
    x = 3,974.80

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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.