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Finding the Fourth Proportional to 12,120, 16,725.42 and 6,742.38

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Solution

The fourth proportional to 12,120, 16,725.42 and 6,742.38 is: 9,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120 : 16,725.42 = 6,742.38 : x
  2. Step 2: Convert to fraction form
    12,120/16,725.42 = 6,742.38/x
  3. Step 3: Cross multiply
    12,120x = 16,725.42 × 6,742.38
  4. Step 4: Simplify right side
    12,120x = 112,769,137.30
  5. Step 5: Solve for x
    x = 112,769,137.30/12,120
  6. Step 6: Final answer
    x = 9,304.38

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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.