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Finding the Fourth Proportional to 5,447.50, 8,171.27 and 1,343.50

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Solution

The fourth proportional to 5,447.50, 8,171.27 and 1,343.50 is: 2,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.50 : 8,171.27 = 1,343.50 : x
  2. Step 2: Convert to fraction form
    5,447.50/8,171.27 = 1,343.50/x
  3. Step 3: Cross multiply
    5,447.50x = 8,171.27 × 1,343.50
  4. Step 4: Simplify right side
    5,447.50x = 10,978,101.25
  5. Step 5: Solve for x
    x = 10,978,101.25/5,447.50
  6. Step 6: Final answer
    x = 2,015.25

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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.