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Finding the Fourth Proportional to 9,942, 14,912.64 and 2,546.52

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Solution

The fourth proportional to 9,942, 14,912.64 and 2,546.52 is: 3,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942 : 14,912.64 = 2,546.52 : x
  2. Step 2: Convert to fraction form
    9,942/14,912.64 = 2,546.52/x
  3. Step 3: Cross multiply
    9,942x = 14,912.64 × 2,546.52
  4. Step 4: Simplify right side
    9,942x = 37,975,336.01
  5. Step 5: Solve for x
    x = 37,975,336.01/9,942
  6. Step 6: Final answer
    x = 3,819.69

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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.