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Finding the Fourth Proportional to 6,174.87, 8,515.63 and 5,464.09

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Solution

The fourth proportional to 6,174.87, 8,515.63 and 5,464.09 is: 7,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.87 : 8,515.63 = 5,464.09 : x
  2. Step 2: Convert to fraction form
    6,174.87/8,515.63 = 5,464.09/x
  3. Step 3: Cross multiply
    6,174.87x = 8,515.63 × 5,464.09
  4. Step 4: Simplify right side
    6,174.87x = 46,530,168.73
  5. Step 5: Solve for x
    x = 46,530,168.73/6,174.87
  6. Step 6: Final answer
    x = 7,535.41

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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.