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Finding the Fourth Proportional to 12,594.96, 18,853.56 and 8,202.96

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Solution

The fourth proportional to 12,594.96, 18,853.56 and 8,202.96 is: 12,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.96 : 18,853.56 = 8,202.96 : x
  2. Step 2: Convert to fraction form
    12,594.96/18,853.56 = 8,202.96/x
  3. Step 3: Cross multiply
    12,594.96x = 18,853.56 × 8,202.96
  4. Step 4: Simplify right side
    12,594.96x = 154,654,998.54
  5. Step 5: Solve for x
    x = 154,654,998.54/12,594.96
  6. Step 6: Final answer
    x = 12,279.12

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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.