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Finding the Fourth Proportional to 11,732.96, 17,599.44 and 5,158.88

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Solution

The fourth proportional to 11,732.96, 17,599.44 and 5,158.88 is: 7,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.96 : 17,599.44 = 5,158.88 : x
  2. Step 2: Convert to fraction form
    11,732.96/17,599.44 = 5,158.88/x
  3. Step 3: Cross multiply
    11,732.96x = 17,599.44 × 5,158.88
  4. Step 4: Simplify right side
    11,732.96x = 90,793,399.03
  5. Step 5: Solve for x
    x = 90,793,399.03/11,732.96
  6. Step 6: Final answer
    x = 7,738.32

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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.