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Finding the Fourth Proportional to 12,295, 16,967.10 and 6,706

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Solution

The fourth proportional to 12,295, 16,967.10 and 6,706 is: 9,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295 : 16,967.10 = 6,706 : x
  2. Step 2: Convert to fraction form
    12,295/16,967.10 = 6,706/x
  3. Step 3: Cross multiply
    12,295x = 16,967.10 × 6,706
  4. Step 4: Simplify right side
    12,295x = 113,781,372.60
  5. Step 5: Solve for x
    x = 113,781,372.60/12,295
  6. Step 6: Final answer
    x = 9,254.28

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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.