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Finding the Fourth Proportional to 9,794.06, 14,691 and 2,398.55

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Solution

The fourth proportional to 9,794.06, 14,691 and 2,398.55 is: 3,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.06 : 14,691 = 2,398.55 : x
  2. Step 2: Convert to fraction form
    9,794.06/14,691 = 2,398.55/x
  3. Step 3: Cross multiply
    9,794.06x = 14,691 × 2,398.55
  4. Step 4: Simplify right side
    9,794.06x = 35,237,098.05
  5. Step 5: Solve for x
    x = 35,237,098.05/9,794.06
  6. Step 6: Final answer
    x = 3,597.80

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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.