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Finding the Fourth Proportional to 26,701, 40,048.74 and 6,976.99

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Solution

The fourth proportional to 26,701, 40,048.74 and 6,976.99 is: 10,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,701 : 40,048.74 = 6,976.99 : x
  2. Step 2: Convert to fraction form
    26,701/40,048.74 = 6,976.99/x
  3. Step 3: Cross multiply
    26,701x = 40,048.74 × 6,976.99
  4. Step 4: Simplify right side
    26,701x = 279,419,658.49
  5. Step 5: Solve for x
    x = 279,419,658.49/26,701
  6. Step 6: Final answer
    x = 10,464.76

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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.