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Finding the Fourth Proportional to 6,356.88, 9,530.46 and 2,464.56

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Solution

The fourth proportional to 6,356.88, 9,530.46 and 2,464.56 is: 3,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.88 : 9,530.46 = 2,464.56 : x
  2. Step 2: Convert to fraction form
    6,356.88/9,530.46 = 2,464.56/x
  3. Step 3: Cross multiply
    6,356.88x = 9,530.46 × 2,464.56
  4. Step 4: Simplify right side
    6,356.88x = 23,488,390.50
  5. Step 5: Solve for x
    x = 23,488,390.50/6,356.88
  6. Step 6: Final answer
    x = 3,694.96

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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.