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Finding the Fourth Proportional to 12,295.70, 16,968.26 and 6,706.70

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Solution

The fourth proportional to 12,295.70, 16,968.26 and 6,706.70 is: 9,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.70 : 16,968.26 = 6,706.70 : x
  2. Step 2: Convert to fraction form
    12,295.70/16,968.26 = 6,706.70/x
  3. Step 3: Cross multiply
    12,295.70x = 16,968.26 × 6,706.70
  4. Step 4: Simplify right side
    12,295.70x = 113,800,910.97
  5. Step 5: Solve for x
    x = 113,800,910.97/12,295.70
  6. Step 6: Final answer
    x = 9,255.35

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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.