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Finding the Fourth Proportional to 12,194.63, 16,829.13 and 6,889.49

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Solution

The fourth proportional to 12,194.63, 16,829.13 and 6,889.49 is: 9,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.63 : 16,829.13 = 6,889.49 : x
  2. Step 2: Convert to fraction form
    12,194.63/16,829.13 = 6,889.49/x
  3. Step 3: Cross multiply
    12,194.63x = 16,829.13 × 6,889.49
  4. Step 4: Simplify right side
    12,194.63x = 115,944,122.84
  5. Step 5: Solve for x
    x = 115,944,122.84/12,194.63
  6. Step 6: Final answer
    x = 9,507.80

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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.