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Finding the Fourth Proportional to 6,706.26, 9,263.97 and 6,378.21

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Solution

The fourth proportional to 6,706.26, 9,263.97 and 6,378.21 is: 8,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.26 : 9,263.97 = 6,378.21 : x
  2. Step 2: Convert to fraction form
    6,706.26/9,263.97 = 6,378.21/x
  3. Step 3: Cross multiply
    6,706.26x = 9,263.97 × 6,378.21
  4. Step 4: Simplify right side
    6,706.26x = 59,087,546.09
  5. Step 5: Solve for x
    x = 59,087,546.09/6,706.26
  6. Step 6: Final answer
    x = 8,810.80

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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.