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Finding the Fourth Proportional to 6,266.13, 9,391 and 2,564.03

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Solution

The fourth proportional to 6,266.13, 9,391 and 2,564.03 is: 3,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.13 : 9,391 = 2,564.03 : x
  2. Step 2: Convert to fraction form
    6,266.13/9,391 = 2,564.03/x
  3. Step 3: Cross multiply
    6,266.13x = 9,391 × 2,564.03
  4. Step 4: Simplify right side
    6,266.13x = 24,078,805.73
  5. Step 5: Solve for x
    x = 24,078,805.73/6,266.13
  6. Step 6: Final answer
    x = 3,842.69

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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.