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Finding the Fourth Proportional to 6,568.44, 9,064.35 and 3,584.22

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Solution

The fourth proportional to 6,568.44, 9,064.35 and 3,584.22 is: 4,946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.44 : 9,064.35 = 3,584.22 : x
  2. Step 2: Convert to fraction form
    6,568.44/9,064.35 = 3,584.22/x
  3. Step 3: Cross multiply
    6,568.44x = 9,064.35 × 3,584.22
  4. Step 4: Simplify right side
    6,568.44x = 32,488,624.56
  5. Step 5: Solve for x
    x = 32,488,624.56/6,568.44
  6. Step 6: Final answer
    x = 4,946.17

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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.