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Finding the Fourth Proportional to 12,205.66, 16,845.61 and 7,729.82

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Solution

The fourth proportional to 12,205.66, 16,845.61 and 7,729.82 is: 10,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.66 : 16,845.61 = 7,729.82 : x
  2. Step 2: Convert to fraction form
    12,205.66/16,845.61 = 7,729.82/x
  3. Step 3: Cross multiply
    12,205.66x = 16,845.61 × 7,729.82
  4. Step 4: Simplify right side
    12,205.66x = 130,213,533.09
  5. Step 5: Solve for x
    x = 130,213,533.09/12,205.66
  6. Step 6: Final answer
    x = 10,668.29

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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.