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Finding the Fourth Proportional to 13,402.99, 18,496.11 and 8,096.82

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Solution

The fourth proportional to 13,402.99, 18,496.11 and 8,096.82 is: 11,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.99 : 18,496.11 = 8,096.82 : x
  2. Step 2: Convert to fraction form
    13,402.99/18,496.11 = 8,096.82/x
  3. Step 3: Cross multiply
    13,402.99x = 18,496.11 × 8,096.82
  4. Step 4: Simplify right side
    13,402.99x = 149,759,673.37
  5. Step 5: Solve for x
    x = 149,759,673.37/13,402.99
  6. Step 6: Final answer
    x = 11,173.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.