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Finding the Fourth Proportional to 6,940.50, 9,578.94 and 3,956.64

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Solution

The fourth proportional to 6,940.50, 9,578.94 and 3,956.64 is: 5,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.50 : 9,578.94 = 3,956.64 : x
  2. Step 2: Convert to fraction form
    6,940.50/9,578.94 = 3,956.64/x
  3. Step 3: Cross multiply
    6,940.50x = 9,578.94 × 3,956.64
  4. Step 4: Simplify right side
    6,940.50x = 37,900,417.16
  5. Step 5: Solve for x
    x = 37,900,417.16/6,940.50
  6. Step 6: Final answer
    x = 5,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.