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Finding the Fourth Proportional to 11,967.66, 17,934.57 and 9,004.14

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Solution

The fourth proportional to 11,967.66, 17,934.57 and 9,004.14 is: 13,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.66 : 17,934.57 = 9,004.14 : x
  2. Step 2: Convert to fraction form
    11,967.66/17,934.57 = 9,004.14/x
  3. Step 3: Cross multiply
    11,967.66x = 17,934.57 × 9,004.14
  4. Step 4: Simplify right side
    11,967.66x = 161,485,379.12
  5. Step 5: Solve for x
    x = 161,485,379.12/11,967.66
  6. Step 6: Final answer
    x = 13,493.48

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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.