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Finding the Fourth Proportional to 6,786.52, 10,179.80 and 2,401.60

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Solution

The fourth proportional to 6,786.52, 10,179.80 and 2,401.60 is: 3,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.52 : 10,179.80 = 2,401.60 : x
  2. Step 2: Convert to fraction form
    6,786.52/10,179.80 = 2,401.60/x
  3. Step 3: Cross multiply
    6,786.52x = 10,179.80 × 2,401.60
  4. Step 4: Simplify right side
    6,786.52x = 24,447,807.68
  5. Step 5: Solve for x
    x = 24,447,807.68/6,786.52
  6. Step 6: Final answer
    x = 3,602.41

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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.