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Finding the Fourth Proportional to 12,295.50, 16,967.88 and 6,706.50

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Solution

The fourth proportional to 12,295.50, 16,967.88 and 6,706.50 is: 9,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.50 : 16,967.88 = 6,706.50 : x
  2. Step 2: Convert to fraction form
    12,295.50/16,967.88 = 6,706.50/x
  3. Step 3: Cross multiply
    12,295.50x = 16,967.88 × 6,706.50
  4. Step 4: Simplify right side
    12,295.50x = 113,795,087.22
  5. Step 5: Solve for x
    x = 113,795,087.22/12,295.50
  6. Step 6: Final answer
    x = 9,255.02

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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.