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Finding the Fourth Proportional to 12,294.36, 16,966 and 6,705.36

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Solution

The fourth proportional to 12,294.36, 16,966 and 6,705.36 is: 9,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.36 : 16,966 = 6,705.36 : x
  2. Step 2: Convert to fraction form
    12,294.36/16,966 = 6,705.36/x
  3. Step 3: Cross multiply
    12,294.36x = 16,966 × 6,705.36
  4. Step 4: Simplify right side
    12,294.36x = 113,763,137.76
  5. Step 5: Solve for x
    x = 113,763,137.76/12,294.36
  6. Step 6: Final answer
    x = 9,253.28

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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.