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Finding the Fourth Proportional to 6,644.32, 9,968.74 and 4,176.25

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Solution

The fourth proportional to 6,644.32, 9,968.74 and 4,176.25 is: 6,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.32 : 9,968.74 = 4,176.25 : x
  2. Step 2: Convert to fraction form
    6,644.32/9,968.74 = 4,176.25/x
  3. Step 3: Cross multiply
    6,644.32x = 9,968.74 × 4,176.25
  4. Step 4: Simplify right side
    6,644.32x = 41,631,915.06
  5. Step 5: Solve for x
    x = 41,631,915.06/6,644.32
  6. Step 6: Final answer
    x = 6,265.79

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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.