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Finding the Fourth Proportional to 6,779.66, 10,169.50 and 1,849.30

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Solution

The fourth proportional to 6,779.66, 10,169.50 and 1,849.30 is: 2,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.66 : 10,169.50 = 1,849.30 : x
  2. Step 2: Convert to fraction form
    6,779.66/10,169.50 = 1,849.30/x
  3. Step 3: Cross multiply
    6,779.66x = 10,169.50 × 1,849.30
  4. Step 4: Simplify right side
    6,779.66x = 18,806,456.35
  5. Step 5: Solve for x
    x = 18,806,456.35/6,779.66
  6. Step 6: Final answer
    x = 2,773.95

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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.