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Finding the Fourth Proportional to 6,496.64, 9,744.83 and 2,600

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Solution

The fourth proportional to 6,496.64, 9,744.83 and 2,600 is: 3,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.64 : 9,744.83 = 2,600 : x
  2. Step 2: Convert to fraction form
    6,496.64/9,744.83 = 2,600/x
  3. Step 3: Cross multiply
    6,496.64x = 9,744.83 × 2,600
  4. Step 4: Simplify right side
    6,496.64x = 25,336,545.00
  5. Step 5: Solve for x
    x = 25,336,545.00/6,496.64
  6. Step 6: Final answer
    x = 3,899.95

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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.