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Finding the Fourth Proportional to 6,977.63, 9,628.96 and 3,993.27

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Solution

The fourth proportional to 6,977.63, 9,628.96 and 3,993.27 is: 5,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.63 : 9,628.96 = 3,993.27 : x
  2. Step 2: Convert to fraction form
    6,977.63/9,628.96 = 3,993.27/x
  3. Step 3: Cross multiply
    6,977.63x = 9,628.96 × 3,993.27
  4. Step 4: Simplify right side
    6,977.63x = 38,451,037.10
  5. Step 5: Solve for x
    x = 38,451,037.10/6,977.63
  6. Step 6: Final answer
    x = 5,510.62

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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.