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Finding the Fourth Proportional to 6,464.52, 9,696.84 and 5,174.19

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Solution

The fourth proportional to 6,464.52, 9,696.84 and 5,174.19 is: 7,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.52 : 9,696.84 = 5,174.19 : x
  2. Step 2: Convert to fraction form
    6,464.52/9,696.84 = 5,174.19/x
  3. Step 3: Cross multiply
    6,464.52x = 9,696.84 × 5,174.19
  4. Step 4: Simplify right side
    6,464.52x = 50,173,292.56
  5. Step 5: Solve for x
    x = 50,173,292.56/6,464.52
  6. Step 6: Final answer
    x = 7,761.33

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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.