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Finding the Fourth Proportional to 16,611.94, 22,926.54 and 9,538.21

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Solution

The fourth proportional to 16,611.94, 22,926.54 and 9,538.21 is: 13,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611.94 : 22,926.54 = 9,538.21 : x
  2. Step 2: Convert to fraction form
    16,611.94/22,926.54 = 9,538.21/x
  3. Step 3: Cross multiply
    16,611.94x = 22,926.54 × 9,538.21
  4. Step 4: Simplify right side
    16,611.94x = 218,678,153.09
  5. Step 5: Solve for x
    x = 218,678,153.09/16,611.94
  6. Step 6: Final answer
    x = 13,163.91

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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.