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Finding the Fourth Proportional to 6,483.94, 9,713.13 and 3,365.98

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Solution

The fourth proportional to 6,483.94, 9,713.13 and 3,365.98 is: 5,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.94 : 9,713.13 = 3,365.98 : x
  2. Step 2: Convert to fraction form
    6,483.94/9,713.13 = 3,365.98/x
  3. Step 3: Cross multiply
    6,483.94x = 9,713.13 × 3,365.98
  4. Step 4: Simplify right side
    6,483.94x = 32,694,201.32
  5. Step 5: Solve for x
    x = 32,694,201.32/6,483.94
  6. Step 6: Final answer
    x = 5,042.34

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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.