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Finding the Fourth Proportional to 6,394.32, 9,591.48 and 2,446.38

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Solution

The fourth proportional to 6,394.32, 9,591.48 and 2,446.38 is: 3,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.32 : 9,591.48 = 2,446.38 : x
  2. Step 2: Convert to fraction form
    6,394.32/9,591.48 = 2,446.38/x
  3. Step 3: Cross multiply
    6,394.32x = 9,591.48 × 2,446.38
  4. Step 4: Simplify right side
    6,394.32x = 23,464,404.84
  5. Step 5: Solve for x
    x = 23,464,404.84/6,394.32
  6. Step 6: Final answer
    x = 3,669.57

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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.