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Finding the Fourth Proportional to 13,796.01, 20,677.80 and 6,384.81

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Solution

The fourth proportional to 13,796.01, 20,677.80 and 6,384.81 is: 9,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.01 : 20,677.80 = 6,384.81 : x
  2. Step 2: Convert to fraction form
    13,796.01/20,677.80 = 6,384.81/x
  3. Step 3: Cross multiply
    13,796.01x = 20,677.80 × 6,384.81
  4. Step 4: Simplify right side
    13,796.01x = 132,023,824.22
  5. Step 5: Solve for x
    x = 132,023,824.22/13,796.01
  6. Step 6: Final answer
    x = 9,569.71

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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.