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Finding the Fourth Proportional to 6,864, 10,295.99 and 2,424.95

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Solution

The fourth proportional to 6,864, 10,295.99 and 2,424.95 is: 3,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 10,295.99 = 2,424.95 : x
  2. Step 2: Convert to fraction form
    6,864/10,295.99 = 2,424.95/x
  3. Step 3: Cross multiply
    6,864x = 10,295.99 × 2,424.95
  4. Step 4: Simplify right side
    6,864x = 24,967,260.95
  5. Step 5: Solve for x
    x = 24,967,260.95/6,864
  6. Step 6: Final answer
    x = 3,637.42

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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.