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Finding the Fourth Proportional to 27,654.62, 41,482.07 and 6,878.12

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Solution

The fourth proportional to 27,654.62, 41,482.07 and 6,878.12 is: 10,317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,654.62 : 41,482.07 = 6,878.12 : x
  2. Step 2: Convert to fraction form
    27,654.62/41,482.07 = 6,878.12/x
  3. Step 3: Cross multiply
    27,654.62x = 41,482.07 × 6,878.12
  4. Step 4: Simplify right side
    27,654.62x = 285,318,439.30
  5. Step 5: Solve for x
    x = 285,318,439.30/27,654.62
  6. Step 6: Final answer
    x = 10,317.21

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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.