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Finding the Fourth Proportional to 6,568.58, 9,844.62 and 3,282.62

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Solution

The fourth proportional to 6,568.58, 9,844.62 and 3,282.62 is: 4,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.58 : 9,844.62 = 3,282.62 : x
  2. Step 2: Convert to fraction form
    6,568.58/9,844.62 = 3,282.62/x
  3. Step 3: Cross multiply
    6,568.58x = 9,844.62 × 3,282.62
  4. Step 4: Simplify right side
    6,568.58x = 32,316,097.28
  5. Step 5: Solve for x
    x = 32,316,097.28/6,568.58
  6. Step 6: Final answer
    x = 4,919.80

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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.