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Finding the Fourth Proportional to 9,794.40, 14,697 and 4,600.14

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Solution

The fourth proportional to 9,794.40, 14,697 and 4,600.14 is: 6,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.40 : 14,697 = 4,600.14 : x
  2. Step 2: Convert to fraction form
    9,794.40/14,697 = 4,600.14/x
  3. Step 3: Cross multiply
    9,794.40x = 14,697 × 4,600.14
  4. Step 4: Simplify right side
    9,794.40x = 67,608,257.58
  5. Step 5: Solve for x
    x = 67,608,257.58/9,794.40
  6. Step 6: Final answer
    x = 6,902.75

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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.