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Finding the Fourth Proportional to 13,794.66, 20,675.80 and 6,383.46

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Solution

The fourth proportional to 13,794.66, 20,675.80 and 6,383.46 is: 9,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794.66 : 20,675.80 = 6,383.46 : x
  2. Step 2: Convert to fraction form
    13,794.66/20,675.80 = 6,383.46/x
  3. Step 3: Cross multiply
    13,794.66x = 20,675.80 × 6,383.46
  4. Step 4: Simplify right side
    13,794.66x = 131,983,142.27
  5. Step 5: Solve for x
    x = 131,983,142.27/13,794.66
  6. Step 6: Final answer
    x = 9,567.70

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1.5x scale

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.