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Finding the Fourth Proportional to 12,766.14, 17,615.91 and 7,099.97

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Solution

The fourth proportional to 12,766.14, 17,615.91 and 7,099.97 is: 9,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.14 : 17,615.91 = 7,099.97 : x
  2. Step 2: Convert to fraction form
    12,766.14/17,615.91 = 7,099.97/x
  3. Step 3: Cross multiply
    12,766.14x = 17,615.91 × 7,099.97
  4. Step 4: Simplify right side
    12,766.14x = 125,072,344.44
  5. Step 5: Solve for x
    x = 125,072,344.44/12,766.14
  6. Step 6: Final answer
    x = 9,797.19

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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.