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Finding the Fourth Proportional to 13,794, 20,693.16 and 4,562.16

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Solution

The fourth proportional to 13,794, 20,693.16 and 4,562.16 is: 6,843.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 20,693.16 = 4,562.16 : x
  2. Step 2: Convert to fraction form
    13,794/20,693.16 = 4,562.16/x
  3. Step 3: Cross multiply
    13,794x = 20,693.16 × 4,562.16
  4. Step 4: Simplify right side
    13,794x = 94,405,506.83
  5. Step 5: Solve for x
    x = 94,405,506.83/13,794
  6. Step 6: Final answer
    x = 6,843.95

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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.