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Finding the Fourth Proportional to 9,230.12, 13,843.11 and 2,654.84

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Solution

The fourth proportional to 9,230.12, 13,843.11 and 2,654.84 is: 3,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.12 : 13,843.11 = 2,654.84 : x
  2. Step 2: Convert to fraction form
    9,230.12/13,843.11 = 2,654.84/x
  3. Step 3: Cross multiply
    9,230.12x = 13,843.11 × 2,654.84
  4. Step 4: Simplify right side
    9,230.12x = 36,751,242.15
  5. Step 5: Solve for x
    x = 36,751,242.15/9,230.12
  6. Step 6: Final answer
    x = 3,981.66

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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.