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Finding the Fourth Proportional to 13,283, 19,907.44 and 6,694.44

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Solution

The fourth proportional to 13,283, 19,907.44 and 6,694.44 is: 10,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283 : 19,907.44 = 6,694.44 : x
  2. Step 2: Convert to fraction form
    13,283/19,907.44 = 6,694.44/x
  3. Step 3: Cross multiply
    13,283x = 19,907.44 × 6,694.44
  4. Step 4: Simplify right side
    13,283x = 133,269,162.63
  5. Step 5: Solve for x
    x = 133,269,162.63/13,283
  6. Step 6: Final answer
    x = 10,033.06

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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.