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Finding the Fourth Proportional to 6,520.26, 9,775.53 and 3,922.59

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Solution

The fourth proportional to 6,520.26, 9,775.53 and 3,922.59 is: 5,880.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.26 : 9,775.53 = 3,922.59 : x
  2. Step 2: Convert to fraction form
    6,520.26/9,775.53 = 3,922.59/x
  3. Step 3: Cross multiply
    6,520.26x = 9,775.53 × 3,922.59
  4. Step 4: Simplify right side
    6,520.26x = 38,345,396.22
  5. Step 5: Solve for x
    x = 38,345,396.22/6,520.26
  6. Step 6: Final answer
    x = 5,880.96

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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.