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Finding the Fourth Proportional to 12,199.98, 16,829.78 and 7,716.18

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Solution

The fourth proportional to 12,199.98, 16,829.78 and 7,716.18 is: 10,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.98 : 16,829.78 = 7,716.18 : x
  2. Step 2: Convert to fraction form
    12,199.98/16,829.78 = 7,716.18/x
  3. Step 3: Cross multiply
    12,199.98x = 16,829.78 × 7,716.18
  4. Step 4: Simplify right side
    12,199.98x = 129,861,611.84
  5. Step 5: Solve for x
    x = 129,861,611.84/12,199.98
  6. Step 6: Final answer
    x = 10,644.41

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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.