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Finding the Fourth Proportional to 7,846.44, 11,758 and 3,946

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Solution

The fourth proportional to 7,846.44, 11,758 and 3,946 is: 5,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.44 : 11,758 = 3,946 : x
  2. Step 2: Convert to fraction form
    7,846.44/11,758 = 3,946/x
  3. Step 3: Cross multiply
    7,846.44x = 11,758 × 3,946
  4. Step 4: Simplify right side
    7,846.44x = 46,397,068
  5. Step 5: Solve for x
    x = 46,397,068/7,846.44
  6. Step 6: Final answer
    x = 5,913.14

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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.