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Finding the Fourth Proportional to 7,694.42, 11,537.52 and 3,992.92

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Solution

The fourth proportional to 7,694.42, 11,537.52 and 3,992.92 is: 5,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.42 : 11,537.52 = 3,992.92 : x
  2. Step 2: Convert to fraction form
    7,694.42/11,537.52 = 3,992.92/x
  3. Step 3: Cross multiply
    7,694.42x = 11,537.52 × 3,992.92
  4. Step 4: Simplify right side
    7,694.42x = 46,068,394.36
  5. Step 5: Solve for x
    x = 46,068,394.36/7,694.42
  6. Step 6: Final answer
    x = 5,987.25

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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.