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Finding the Fourth Proportional to 6,940.92, 10,394.64 and 4,863

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Solution

The fourth proportional to 6,940.92, 10,394.64 and 4,863 is: 7,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.92 : 10,394.64 = 4,863 : x
  2. Step 2: Convert to fraction form
    6,940.92/10,394.64 = 4,863/x
  3. Step 3: Cross multiply
    6,940.92x = 10,394.64 × 4,863
  4. Step 4: Simplify right side
    6,940.92x = 50,549,134.32
  5. Step 5: Solve for x
    x = 50,549,134.32/6,940.92
  6. Step 6: Final answer
    x = 7,282.77

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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.