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Finding the Fourth Proportional to 18,196.63, 27,294.64 and 8,195.82

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Solution

The fourth proportional to 18,196.63, 27,294.64 and 8,195.82 is: 12,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,196.63 : 27,294.64 = 8,195.82 : x
  2. Step 2: Convert to fraction form
    18,196.63/27,294.64 = 8,195.82/x
  3. Step 3: Cross multiply
    18,196.63x = 27,294.64 × 8,195.82
  4. Step 4: Simplify right side
    18,196.63x = 223,701,840.42
  5. Step 5: Solve for x
    x = 223,701,840.42/18,196.63
  6. Step 6: Final answer
    x = 12,293.58

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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.