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Finding the Fourth Proportional to 12,634.39, 18,946.08 and 6,709.98

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Solution

The fourth proportional to 12,634.39, 18,946.08 and 6,709.98 is: 10,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.39 : 18,946.08 = 6,709.98 : x
  2. Step 2: Convert to fraction form
    12,634.39/18,946.08 = 6,709.98/x
  3. Step 3: Cross multiply
    12,634.39x = 18,946.08 × 6,709.98
  4. Step 4: Simplify right side
    12,634.39x = 127,127,817.88
  5. Step 5: Solve for x
    x = 127,127,817.88/12,634.39
  6. Step 6: Final answer
    x = 10,062.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.