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Finding the Fourth Proportional to 7,182.57, 10,773.99 and 2,252.10

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Solution

The fourth proportional to 7,182.57, 10,773.99 and 2,252.10 is: 3,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.57 : 10,773.99 = 2,252.10 : x
  2. Step 2: Convert to fraction form
    7,182.57/10,773.99 = 2,252.10/x
  3. Step 3: Cross multiply
    7,182.57x = 10,773.99 × 2,252.10
  4. Step 4: Simplify right side
    7,182.57x = 24,264,102.88
  5. Step 5: Solve for x
    x = 24,264,102.88/7,182.57
  6. Step 6: Final answer
    x = 3,378.19

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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.