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Finding the Fourth Proportional to 7,967.24, 11,932.32 and 7,690.40

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Solution

The fourth proportional to 7,967.24, 11,932.32 and 7,690.40 is: 11,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.24 : 11,932.32 = 7,690.40 : x
  2. Step 2: Convert to fraction form
    7,967.24/11,932.32 = 7,690.40/x
  3. Step 3: Cross multiply
    7,967.24x = 11,932.32 × 7,690.40
  4. Step 4: Simplify right side
    7,967.24x = 91,764,313.73
  5. Step 5: Solve for x
    x = 91,764,313.73/7,967.24
  6. Step 6: Final answer
    x = 11,517.70

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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.