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Finding the Fourth Proportional to 6,483.78, 9,722.19 and 2,040.61

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Solution

The fourth proportional to 6,483.78, 9,722.19 and 2,040.61 is: 3,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.78 : 9,722.19 = 2,040.61 : x
  2. Step 2: Convert to fraction form
    6,483.78/9,722.19 = 2,040.61/x
  3. Step 3: Cross multiply
    6,483.78x = 9,722.19 × 2,040.61
  4. Step 4: Simplify right side
    6,483.78x = 19,839,232.12
  5. Step 5: Solve for x
    x = 19,839,232.12/6,483.78
  6. Step 6: Final answer
    x = 3,059.82

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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.