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Finding the Fourth Proportional to 7,182.73, 10,774.10 and 2,252.49

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Solution

The fourth proportional to 7,182.73, 10,774.10 and 2,252.49 is: 3,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.73 : 10,774.10 = 2,252.49 : x
  2. Step 2: Convert to fraction form
    7,182.73/10,774.10 = 2,252.49/x
  3. Step 3: Cross multiply
    7,182.73x = 10,774.10 × 2,252.49
  4. Step 4: Simplify right side
    7,182.73x = 24,268,552.51
  5. Step 5: Solve for x
    x = 24,268,552.51/7,182.73
  6. Step 6: Final answer
    x = 3,378.74

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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.