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Finding the Fourth Proportional to 6,495.50, 8,963.80 and 3,701

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Solution

The fourth proportional to 6,495.50, 8,963.80 and 3,701 is: 5,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.50 : 8,963.80 = 3,701 : x
  2. Step 2: Convert to fraction form
    6,495.50/8,963.80 = 3,701/x
  3. Step 3: Cross multiply
    6,495.50x = 8,963.80 × 3,701
  4. Step 4: Simplify right side
    6,495.50x = 33,175,023.80
  5. Step 5: Solve for x
    x = 33,175,023.80/6,495.50
  6. Step 6: Final answer
    x = 5,107.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.