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Finding the Fourth Proportional to 6,794.92, 9,376.97 and 3,962.40

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Solution

The fourth proportional to 6,794.92, 9,376.97 and 3,962.40 is: 5,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.92 : 9,376.97 = 3,962.40 : x
  2. Step 2: Convert to fraction form
    6,794.92/9,376.97 = 3,962.40/x
  3. Step 3: Cross multiply
    6,794.92x = 9,376.97 × 3,962.40
  4. Step 4: Simplify right side
    6,794.92x = 37,155,305.93
  5. Step 5: Solve for x
    x = 37,155,305.93/6,794.92
  6. Step 6: Final answer
    x = 5,468.10

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1.5x scale

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.