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Finding the Fourth Proportional to 6,568.64, 9,835.32 and 4,098.56

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Solution

The fourth proportional to 6,568.64, 9,835.32 and 4,098.56 is: 6,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.64 : 9,835.32 = 4,098.56 : x
  2. Step 2: Convert to fraction form
    6,568.64/9,835.32 = 4,098.56/x
  3. Step 3: Cross multiply
    6,568.64x = 9,835.32 × 4,098.56
  4. Step 4: Simplify right side
    6,568.64x = 40,310,649.14
  5. Step 5: Solve for x
    x = 40,310,649.14/6,568.64
  6. Step 6: Final answer
    x = 6,136.83

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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.