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Finding the Fourth Proportional to 6,568.26, 9,855.12 and 3,280.47

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Solution

The fourth proportional to 6,568.26, 9,855.12 and 3,280.47 is: 4,922.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.26 : 9,855.12 = 3,280.47 : x
  2. Step 2: Convert to fraction form
    6,568.26/9,855.12 = 3,280.47/x
  3. Step 3: Cross multiply
    6,568.26x = 9,855.12 × 3,280.47
  4. Step 4: Simplify right side
    6,568.26x = 32,329,425.51
  5. Step 5: Solve for x
    x = 32,329,425.51/6,568.26
  6. Step 6: Final answer
    x = 4,922.07

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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.