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Finding the Fourth Proportional to 6,958.05, 10,438.23 and 3,448.22

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Solution

The fourth proportional to 6,958.05, 10,438.23 and 3,448.22 is: 5,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.05 : 10,438.23 = 3,448.22 : x
  2. Step 2: Convert to fraction form
    6,958.05/10,438.23 = 3,448.22/x
  3. Step 3: Cross multiply
    6,958.05x = 10,438.23 × 3,448.22
  4. Step 4: Simplify right side
    6,958.05x = 35,993,261.26
  5. Step 5: Solve for x
    x = 35,993,261.26/6,958.05
  6. Step 6: Final answer
    x = 5,172.89

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1.5x scale

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.