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Finding the Fourth Proportional to 6,639.57, 9,965.53 and 3,354.99

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Solution

The fourth proportional to 6,639.57, 9,965.53 and 3,354.99 is: 5,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.57 : 9,965.53 = 3,354.99 : x
  2. Step 2: Convert to fraction form
    6,639.57/9,965.53 = 3,354.99/x
  3. Step 3: Cross multiply
    6,639.57x = 9,965.53 × 3,354.99
  4. Step 4: Simplify right side
    6,639.57x = 33,434,220.32
  5. Step 5: Solve for x
    x = 33,434,220.32/6,639.57
  6. Step 6: Final answer
    x = 5,035.60

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Why These Related Problems?

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