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Finding the Fourth Proportional to 7,230.96, 10,847.64 and 2,549.64

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Solution

The fourth proportional to 7,230.96, 10,847.64 and 2,549.64 is: 3,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.96 : 10,847.64 = 2,549.64 : x
  2. Step 2: Convert to fraction form
    7,230.96/10,847.64 = 2,549.64/x
  3. Step 3: Cross multiply
    7,230.96x = 10,847.64 × 2,549.64
  4. Step 4: Simplify right side
    7,230.96x = 27,657,576.85
  5. Step 5: Solve for x
    x = 27,657,576.85/7,230.96
  6. Step 6: Final answer
    x = 3,824.88

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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.