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Finding the Fourth Proportional to 6,893.50, 10,340.60 and 1,963.50

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Solution

The fourth proportional to 6,893.50, 10,340.60 and 1,963.50 is: 2,945.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.50 : 10,340.60 = 1,963.50 : x
  2. Step 2: Convert to fraction form
    6,893.50/10,340.60 = 1,963.50/x
  3. Step 3: Cross multiply
    6,893.50x = 10,340.60 × 1,963.50
  4. Step 4: Simplify right side
    6,893.50x = 20,303,768.10
  5. Step 5: Solve for x
    x = 20,303,768.10/6,893.50
  6. Step 6: Final answer
    x = 2,945.35

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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.