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Finding the Fourth Proportional to 6,166.68, 8,509.68 and 3,372

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Solution

The fourth proportional to 6,166.68, 8,509.68 and 3,372 is: 4,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.68 : 8,509.68 = 3,372 : x
  2. Step 2: Convert to fraction form
    6,166.68/8,509.68 = 3,372/x
  3. Step 3: Cross multiply
    6,166.68x = 8,509.68 × 3,372
  4. Step 4: Simplify right side
    6,166.68x = 28,694,640.96
  5. Step 5: Solve for x
    x = 28,694,640.96/6,166.68
  6. Step 6: Final answer
    x = 4,653.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.