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Finding the Fourth Proportional to 7,182.97, 10,774.46 and 2,252.63

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Solution

The fourth proportional to 7,182.97, 10,774.46 and 2,252.63 is: 3,378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.97 : 10,774.46 = 2,252.63 : x
  2. Step 2: Convert to fraction form
    7,182.97/10,774.46 = 2,252.63/x
  3. Step 3: Cross multiply
    7,182.97x = 10,774.46 × 2,252.63
  4. Step 4: Simplify right side
    7,182.97x = 24,270,904.40
  5. Step 5: Solve for x
    x = 24,270,904.40/7,182.97
  6. Step 6: Final answer
    x = 3,378.95

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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.