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Finding the Fourth Proportional to 7,182.07, 10,773.10 and 2,252.09

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Solution

The fourth proportional to 7,182.07, 10,773.10 and 2,252.09 is: 3,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.07 : 10,773.10 = 2,252.09 : x
  2. Step 2: Convert to fraction form
    7,182.07/10,773.10 = 2,252.09/x
  3. Step 3: Cross multiply
    7,182.07x = 10,773.10 × 2,252.09
  4. Step 4: Simplify right side
    7,182.07x = 24,261,936.91
  5. Step 5: Solve for x
    x = 24,261,936.91/7,182.07
  6. Step 6: Final answer
    x = 3,378.13

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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.