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Finding the Fourth Proportional to 7,716.44, 11,562.50 and 5,965.71

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Solution

The fourth proportional to 7,716.44, 11,562.50 and 5,965.71 is: 8,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.44 : 11,562.50 = 5,965.71 : x
  2. Step 2: Convert to fraction form
    7,716.44/11,562.50 = 5,965.71/x
  3. Step 3: Cross multiply
    7,716.44x = 11,562.50 × 5,965.71
  4. Step 4: Simplify right side
    7,716.44x = 68,978,492.05
  5. Step 5: Solve for x
    x = 68,978,492.05/7,716.44
  6. Step 6: Final answer
    x = 8,939.17

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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.