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Finding the Fourth Proportional to 6,464.24, 9,716.52 and 5,375.60

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Solution

The fourth proportional to 6,464.24, 9,716.52 and 5,375.60 is: 8,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.24 : 9,716.52 = 5,375.60 : x
  2. Step 2: Convert to fraction form
    6,464.24/9,716.52 = 5,375.60/x
  3. Step 3: Cross multiply
    6,464.24x = 9,716.52 × 5,375.60
  4. Step 4: Simplify right side
    6,464.24x = 52,232,124.91
  5. Step 5: Solve for x
    x = 52,232,124.91/6,464.24
  6. Step 6: Final answer
    x = 8,080.16

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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.