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Finding the Fourth Proportional to 6,435.50, 9,653.67 and 2,542.64

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Solution

The fourth proportional to 6,435.50, 9,653.67 and 2,542.64 is: 3,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.50 : 9,653.67 = 2,542.64 : x
  2. Step 2: Convert to fraction form
    6,435.50/9,653.67 = 2,542.64/x
  3. Step 3: Cross multiply
    6,435.50x = 9,653.67 × 2,542.64
  4. Step 4: Simplify right side
    6,435.50x = 24,545,759.22
  5. Step 5: Solve for x
    x = 24,545,759.22/6,435.50
  6. Step 6: Final answer
    x = 3,814.12

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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.