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Finding the Fourth Proportional to 8,193.84, 12,290.78 and 2,996.88

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Solution

The fourth proportional to 8,193.84, 12,290.78 and 2,996.88 is: 4,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.84 : 12,290.78 = 2,996.88 : x
  2. Step 2: Convert to fraction form
    8,193.84/12,290.78 = 2,996.88/x
  3. Step 3: Cross multiply
    8,193.84x = 12,290.78 × 2,996.88
  4. Step 4: Simplify right side
    8,193.84x = 36,833,992.77
  5. Step 5: Solve for x
    x = 36,833,992.77/8,193.84
  6. Step 6: Final answer
    x = 4,495.33

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Similar ratio
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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.