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Finding the Fourth Proportional to 6,551.96, 9,826.99 and 2,168.84

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Solution

The fourth proportional to 6,551.96, 9,826.99 and 2,168.84 is: 3,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.96 : 9,826.99 = 2,168.84 : x
  2. Step 2: Convert to fraction form
    6,551.96/9,826.99 = 2,168.84/x
  3. Step 3: Cross multiply
    6,551.96x = 9,826.99 × 2,168.84
  4. Step 4: Simplify right side
    6,551.96x = 21,313,188.14
  5. Step 5: Solve for x
    x = 21,313,188.14/6,551.96
  6. Step 6: Final answer
    x = 3,252.95

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1.5x scale

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.