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Finding the Fourth Proportional to 6,106, 9,158.36 and 4,144.22

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Solution

The fourth proportional to 6,106, 9,158.36 and 4,144.22 is: 6,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106 : 9,158.36 = 4,144.22 : x
  2. Step 2: Convert to fraction form
    6,106/9,158.36 = 4,144.22/x
  3. Step 3: Cross multiply
    6,106x = 9,158.36 × 4,144.22
  4. Step 4: Simplify right side
    6,106x = 37,954,258.68
  5. Step 5: Solve for x
    x = 37,954,258.68/6,106
  6. Step 6: Final answer
    x = 6,215.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.