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Finding the Fourth Proportional to 6,368.25, 9,548.89 and 2,207.89

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Solution

The fourth proportional to 6,368.25, 9,548.89 and 2,207.89 is: 3,310.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.25 : 9,548.89 = 2,207.89 : x
  2. Step 2: Convert to fraction form
    6,368.25/9,548.89 = 2,207.89/x
  3. Step 3: Cross multiply
    6,368.25x = 9,548.89 × 2,207.89
  4. Step 4: Simplify right side
    6,368.25x = 21,082,905.16
  5. Step 5: Solve for x
    x = 21,082,905.16/6,368.25
  6. Step 6: Final answer
    x = 3,310.63

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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.