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Finding the Fourth Proportional to 10,899, 16,348.74 and 2,691

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Solution

The fourth proportional to 10,899, 16,348.74 and 2,691 is: 4,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899 : 16,348.74 = 2,691 : x
  2. Step 2: Convert to fraction form
    10,899/16,348.74 = 2,691/x
  3. Step 3: Cross multiply
    10,899x = 16,348.74 × 2,691
  4. Step 4: Simplify right side
    10,899x = 43,994,459.34
  5. Step 5: Solve for x
    x = 43,994,459.34/10,899
  6. Step 6: Final answer
    x = 4,036.56

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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.