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Finding the Fourth Proportional to 6,446.68, 9,668.22 and 2,286.16

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Solution

The fourth proportional to 6,446.68, 9,668.22 and 2,286.16 is: 3,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.68 : 9,668.22 = 2,286.16 : x
  2. Step 2: Convert to fraction form
    6,446.68/9,668.22 = 2,286.16/x
  3. Step 3: Cross multiply
    6,446.68x = 9,668.22 × 2,286.16
  4. Step 4: Simplify right side
    6,446.68x = 22,103,097.84
  5. Step 5: Solve for x
    x = 22,103,097.84/6,446.68
  6. Step 6: Final answer
    x = 3,428.60

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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.