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Finding the Fourth Proportional to 12,706.50, 17,534.97 and 7,738.50

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Solution

The fourth proportional to 12,706.50, 17,534.97 and 7,738.50 is: 10,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.50 : 17,534.97 = 7,738.50 : x
  2. Step 2: Convert to fraction form
    12,706.50/17,534.97 = 7,738.50/x
  3. Step 3: Cross multiply
    12,706.50x = 17,534.97 × 7,738.50
  4. Step 4: Simplify right side
    12,706.50x = 135,694,365.35
  5. Step 5: Solve for x
    x = 135,694,365.35/12,706.50
  6. Step 6: Final answer
    x = 10,679.13

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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.