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Finding the Fourth Proportional to 6,483.31, 9,716.76 and 4,142.41

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Solution

The fourth proportional to 6,483.31, 9,716.76 and 4,142.41 is: 6,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.31 : 9,716.76 = 4,142.41 : x
  2. Step 2: Convert to fraction form
    6,483.31/9,716.76 = 4,142.41/x
  3. Step 3: Cross multiply
    6,483.31x = 9,716.76 × 4,142.41
  4. Step 4: Simplify right side
    6,483.31x = 40,250,734.50
  5. Step 5: Solve for x
    x = 40,250,734.50/6,483.31
  6. Step 6: Final answer
    x = 6,208.37

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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.