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Finding the Fourth Proportional to 6,209, 9,314.78 and 2,561

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Solution

The fourth proportional to 6,209, 9,314.78 and 2,561 is: 3,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209 : 9,314.78 = 2,561 : x
  2. Step 2: Convert to fraction form
    6,209/9,314.78 = 2,561/x
  3. Step 3: Cross multiply
    6,209x = 9,314.78 × 2,561
  4. Step 4: Simplify right side
    6,209x = 23,855,151.58
  5. Step 5: Solve for x
    x = 23,855,151.58/6,209
  6. Step 6: Final answer
    x = 3,842.03

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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.