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Finding the Fourth Proportional to 11,964.22, 16,493.52 and 8,416.42

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Solution

The fourth proportional to 11,964.22, 16,493.52 and 8,416.42 is: 11,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.22 : 16,493.52 = 8,416.42 : x
  2. Step 2: Convert to fraction form
    11,964.22/16,493.52 = 8,416.42/x
  3. Step 3: Cross multiply
    11,964.22x = 16,493.52 × 8,416.42
  4. Step 4: Simplify right side
    11,964.22x = 138,816,349.52
  5. Step 5: Solve for x
    x = 138,816,349.52/11,964.22
  6. Step 6: Final answer
    x = 11,602.62

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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.