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Finding the Fourth Proportional to 8,115, 11,198.54 and 4,578.20

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Solution

The fourth proportional to 8,115, 11,198.54 and 4,578.20 is: 6,317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115 : 11,198.54 = 4,578.20 : x
  2. Step 2: Convert to fraction form
    8,115/11,198.54 = 4,578.20/x
  3. Step 3: Cross multiply
    8,115x = 11,198.54 × 4,578.20
  4. Step 4: Simplify right side
    8,115x = 51,269,155.83
  5. Step 5: Solve for x
    x = 51,269,155.83/8,115
  6. Step 6: Final answer
    x = 6,317.83

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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.