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Finding the Fourth Proportional to 9,247.68, 13,832.64 and 7,964.64

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Solution

The fourth proportional to 9,247.68, 13,832.64 and 7,964.64 is: 11,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.68 : 13,832.64 = 7,964.64 : x
  2. Step 2: Convert to fraction form
    9,247.68/13,832.64 = 7,964.64/x
  3. Step 3: Cross multiply
    9,247.68x = 13,832.64 × 7,964.64
  4. Step 4: Simplify right side
    9,247.68x = 110,171,997.85
  5. Step 5: Solve for x
    x = 110,171,997.85/9,247.68
  6. Step 6: Final answer
    x = 11,913.47

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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.