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Finding the Fourth Proportional to 12,149.58, 16,764.08 and 6,770.76

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Solution

The fourth proportional to 12,149.58, 16,764.08 and 6,770.76 is: 9,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.58 : 16,764.08 = 6,770.76 : x
  2. Step 2: Convert to fraction form
    12,149.58/16,764.08 = 6,770.76/x
  3. Step 3: Cross multiply
    12,149.58x = 16,764.08 × 6,770.76
  4. Step 4: Simplify right side
    12,149.58x = 113,505,562.30
  5. Step 5: Solve for x
    x = 113,505,562.30/12,149.58
  6. Step 6: Final answer
    x = 9,342.34

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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.