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Finding the Fourth Proportional to 16,715.01, 23,067 and 9,161.22

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Solution

The fourth proportional to 16,715.01, 23,067 and 9,161.22 is: 12,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,715.01 : 23,067 = 9,161.22 : x
  2. Step 2: Convert to fraction form
    16,715.01/23,067 = 9,161.22/x
  3. Step 3: Cross multiply
    16,715.01x = 23,067 × 9,161.22
  4. Step 4: Simplify right side
    16,715.01x = 211,321,861.74
  5. Step 5: Solve for x
    x = 211,321,861.74/16,715.01
  6. Step 6: Final answer
    x = 12,642.64

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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.