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Finding the Fourth Proportional to 18,596.93, 27,892.97 and 8,206.25

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Solution

The fourth proportional to 18,596.93, 27,892.97 and 8,206.25 is: 12,308.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.93 : 27,892.97 = 8,206.25 : x
  2. Step 2: Convert to fraction form
    18,596.93/27,892.97 = 8,206.25/x
  3. Step 3: Cross multiply
    18,596.93x = 27,892.97 × 8,206.25
  4. Step 4: Simplify right side
    18,596.93x = 228,896,644.03
  5. Step 5: Solve for x
    x = 228,896,644.03/18,596.93
  6. Step 6: Final answer
    x = 12,308.30

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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.