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Finding the Fourth Proportional to 6,965.50, 10,448.40 and 3,265.69

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Solution

The fourth proportional to 6,965.50, 10,448.40 and 3,265.69 is: 4,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.50 : 10,448.40 = 3,265.69 : x
  2. Step 2: Convert to fraction form
    6,965.50/10,448.40 = 3,265.69/x
  3. Step 3: Cross multiply
    6,965.50x = 10,448.40 × 3,265.69
  4. Step 4: Simplify right side
    6,965.50x = 34,121,235.40
  5. Step 5: Solve for x
    x = 34,121,235.40/6,965.50
  6. Step 6: Final answer
    x = 4,898.61

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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.