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Finding the Fourth Proportional to 8,446.28, 11,651.46 and 5,651.24

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Solution

The fourth proportional to 8,446.28, 11,651.46 and 5,651.24 is: 7,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.28 : 11,651.46 = 5,651.24 : x
  2. Step 2: Convert to fraction form
    8,446.28/11,651.46 = 5,651.24/x
  3. Step 3: Cross multiply
    8,446.28x = 11,651.46 × 5,651.24
  4. Step 4: Simplify right side
    8,446.28x = 65,845,196.81
  5. Step 5: Solve for x
    x = 65,845,196.81/8,446.28
  6. Step 6: Final answer
    x = 7,795.76

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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.