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Finding the Fourth Proportional to 6,829.92, 10,246.50 and 2,670.30

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Solution

The fourth proportional to 6,829.92, 10,246.50 and 2,670.30 is: 4,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.92 : 10,246.50 = 2,670.30 : x
  2. Step 2: Convert to fraction form
    6,829.92/10,246.50 = 2,670.30/x
  3. Step 3: Cross multiply
    6,829.92x = 10,246.50 × 2,670.30
  4. Step 4: Simplify right side
    6,829.92x = 27,361,228.95
  5. Step 5: Solve for x
    x = 27,361,228.95/6,829.92
  6. Step 6: Final answer
    x = 4,006.08

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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.