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Finding the Fourth Proportional to 6,829.00, 10,245.63 and 2,446.50

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Solution

The fourth proportional to 6,829.00, 10,245.63 and 2,446.50 is: 3,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.00 : 10,245.63 = 2,446.50 : x
  2. Step 2: Convert to fraction form
    6,829.00/10,245.63 = 2,446.50/x
  3. Step 3: Cross multiply
    6,829.00x = 10,245.63 × 2,446.50
  4. Step 4: Simplify right side
    6,829.00x = 25,065,908.18
  5. Step 5: Solve for x
    x = 25,065,908.18/6,829.00
  6. Step 6: Final answer
    x = 3,670.51

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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.