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Finding the Fourth Proportional to 13,907.46, 20,863 and 4,046.52

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Solution

The fourth proportional to 13,907.46, 20,863 and 4,046.52 is: 6,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.46 : 20,863 = 4,046.52 : x
  2. Step 2: Convert to fraction form
    13,907.46/20,863 = 4,046.52/x
  3. Step 3: Cross multiply
    13,907.46x = 20,863 × 4,046.52
  4. Step 4: Simplify right side
    13,907.46x = 84,422,546.76
  5. Step 5: Solve for x
    x = 84,422,546.76/13,907.46
  6. Step 6: Final answer
    x = 6,070.31

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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.