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Finding the Fourth Proportional to 12,811.42, 17,679.63 and 8,099.58

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Solution

The fourth proportional to 12,811.42, 17,679.63 and 8,099.58 is: 11,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.42 : 17,679.63 = 8,099.58 : x
  2. Step 2: Convert to fraction form
    12,811.42/17,679.63 = 8,099.58/x
  3. Step 3: Cross multiply
    12,811.42x = 17,679.63 × 8,099.58
  4. Step 4: Simplify right side
    12,811.42x = 143,197,577.56
  5. Step 5: Solve for x
    x = 143,197,577.56/12,811.42
  6. Step 6: Final answer
    x = 11,177.34

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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.