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Finding the Fourth Proportional to 9,182.62, 13,773.84 and 2,857.42

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Solution

The fourth proportional to 9,182.62, 13,773.84 and 2,857.42 is: 4,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.62 : 13,773.84 = 2,857.42 : x
  2. Step 2: Convert to fraction form
    9,182.62/13,773.84 = 2,857.42/x
  3. Step 3: Cross multiply
    9,182.62x = 13,773.84 × 2,857.42
  4. Step 4: Simplify right side
    9,182.62x = 39,357,645.89
  5. Step 5: Solve for x
    x = 39,357,645.89/9,182.62
  6. Step 6: Final answer
    x = 4,286.10

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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.