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Finding the Fourth Proportional to 6,922.26, 9,552.74 and 3,778.65

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Solution

The fourth proportional to 6,922.26, 9,552.74 and 3,778.65 is: 5,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.26 : 9,552.74 = 3,778.65 : x
  2. Step 2: Convert to fraction form
    6,922.26/9,552.74 = 3,778.65/x
  3. Step 3: Cross multiply
    6,922.26x = 9,552.74 × 3,778.65
  4. Step 4: Simplify right side
    6,922.26x = 36,096,442.11
  5. Step 5: Solve for x
    x = 36,096,442.11/6,922.26
  6. Step 6: Final answer
    x = 5,214.55

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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.