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Finding the Fourth Proportional to 6,196.57, 9,288.93 and 3,968.56

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Solution

The fourth proportional to 6,196.57, 9,288.93 and 3,968.56 is: 5,949.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.57 : 9,288.93 = 3,968.56 : x
  2. Step 2: Convert to fraction form
    6,196.57/9,288.93 = 3,968.56/x
  3. Step 3: Cross multiply
    6,196.57x = 9,288.93 × 3,968.56
  4. Step 4: Simplify right side
    6,196.57x = 36,863,676.04
  5. Step 5: Solve for x
    x = 36,863,676.04/6,196.57
  6. Step 6: Final answer
    x = 5,949.05

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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.