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Finding the Fourth Proportional to 6,643.26, 9,967.64 and 3,357.32

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Solution

The fourth proportional to 6,643.26, 9,967.64 and 3,357.32 is: 5,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.26 : 9,967.64 = 3,357.32 : x
  2. Step 2: Convert to fraction form
    6,643.26/9,967.64 = 3,357.32/x
  3. Step 3: Cross multiply
    6,643.26x = 9,967.64 × 3,357.32
  4. Step 4: Simplify right side
    6,643.26x = 33,464,490.50
  5. Step 5: Solve for x
    x = 33,464,490.50/6,643.26
  6. Step 6: Final answer
    x = 5,037.36

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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.