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Finding the Fourth Proportional to 18,349.57, 27,497.34 and 8,205.64

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Solution

The fourth proportional to 18,349.57, 27,497.34 and 8,205.64 is: 12,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349.57 : 27,497.34 = 8,205.64 : x
  2. Step 2: Convert to fraction form
    18,349.57/27,497.34 = 8,205.64/x
  3. Step 3: Cross multiply
    18,349.57x = 27,497.34 × 8,205.64
  4. Step 4: Simplify right side
    18,349.57x = 225,633,135.51
  5. Step 5: Solve for x
    x = 225,633,135.51/18,349.57
  6. Step 6: Final answer
    x = 12,296.38

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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.