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Finding the Fourth Proportional to 11,324.32, 16,964.38 and 7,416.88

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Solution

The fourth proportional to 11,324.32, 16,964.38 and 7,416.88 is: 11,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,324.32 : 16,964.38 = 7,416.88 : x
  2. Step 2: Convert to fraction form
    11,324.32/16,964.38 = 7,416.88/x
  3. Step 3: Cross multiply
    11,324.32x = 16,964.38 × 7,416.88
  4. Step 4: Simplify right side
    11,324.32x = 125,822,770.73
  5. Step 5: Solve for x
    x = 125,822,770.73/11,324.32
  6. Step 6: Final answer
    x = 11,110.85

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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.