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Finding the Fourth Proportional to 6,641.25, 9,968.01 and 3,356.64

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Solution

The fourth proportional to 6,641.25, 9,968.01 and 3,356.64 is: 5,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.25 : 9,968.01 = 3,356.64 : x
  2. Step 2: Convert to fraction form
    6,641.25/9,968.01 = 3,356.64/x
  3. Step 3: Cross multiply
    6,641.25x = 9,968.01 × 3,356.64
  4. Step 4: Simplify right side
    6,641.25x = 33,459,021.09
  5. Step 5: Solve for x
    x = 33,459,021.09/6,641.25
  6. Step 6: Final answer
    x = 5,038.06

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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.