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Finding the Fourth Proportional to 13,773.58, 20,648.87 and 6,383.34

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Solution

The fourth proportional to 13,773.58, 20,648.87 and 6,383.34 is: 9,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.58 : 20,648.87 = 6,383.34 : x
  2. Step 2: Convert to fraction form
    13,773.58/20,648.87 = 6,383.34/x
  3. Step 3: Cross multiply
    13,773.58x = 20,648.87 × 6,383.34
  4. Step 4: Simplify right side
    13,773.58x = 131,808,757.83
  5. Step 5: Solve for x
    x = 131,808,757.83/13,773.58
  6. Step 6: Final answer
    x = 9,569.68

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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.