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Finding the Fourth Proportional to 12,125.14, 16,729.08 and 7,346.86

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Solution

The fourth proportional to 12,125.14, 16,729.08 and 7,346.86 is: 10,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.14 : 16,729.08 = 7,346.86 : x
  2. Step 2: Convert to fraction form
    12,125.14/16,729.08 = 7,346.86/x
  3. Step 3: Cross multiply
    12,125.14x = 16,729.08 × 7,346.86
  4. Step 4: Simplify right side
    12,125.14x = 122,906,208.69
  5. Step 5: Solve for x
    x = 122,906,208.69/12,125.14
  6. Step 6: Final answer
    x = 10,136.48

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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.