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Finding the Fourth Proportional to 12,014.91, 17,997.26 and 9,662.22

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Solution

The fourth proportional to 12,014.91, 17,997.26 and 9,662.22 is: 14,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.91 : 17,997.26 = 9,662.22 : x
  2. Step 2: Convert to fraction form
    12,014.91/17,997.26 = 9,662.22/x
  3. Step 3: Cross multiply
    12,014.91x = 17,997.26 × 9,662.22
  4. Step 4: Simplify right side
    12,014.91x = 173,893,504.70
  5. Step 5: Solve for x
    x = 173,893,504.70/12,014.91
  6. Step 6: Final answer
    x = 14,473.14

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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.