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Finding the Fourth Proportional to 5,964.47, 8,230.50 and 3,311.64

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Solution

The fourth proportional to 5,964.47, 8,230.50 and 3,311.64 is: 4,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.47 : 8,230.50 = 3,311.64 : x
  2. Step 2: Convert to fraction form
    5,964.47/8,230.50 = 3,311.64/x
  3. Step 3: Cross multiply
    5,964.47x = 8,230.50 × 3,311.64
  4. Step 4: Simplify right side
    5,964.47x = 27,256,453.02
  5. Step 5: Solve for x
    x = 27,256,453.02/5,964.47
  6. Step 6: Final answer
    x = 4,569.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.