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Finding the Fourth Proportional to 6,779.24, 10,170.54 and 2,099

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Solution

The fourth proportional to 6,779.24, 10,170.54 and 2,099 is: 3,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,779.24 : 10,170.54 = 2,099 : x
  2. Step 2: Convert to fraction form
    6,779.24/10,170.54 = 2,099/x
  3. Step 3: Cross multiply
    6,779.24x = 10,170.54 × 2,099
  4. Step 4: Simplify right side
    6,779.24x = 21,347,963.46
  5. Step 5: Solve for x
    x = 21,347,963.46/6,779.24
  6. Step 6: Final answer
    x = 3,149.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.