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Finding the Fourth Proportional to 7,071.62, 10,604.54 and 3,069.26

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Solution

The fourth proportional to 7,071.62, 10,604.54 and 3,069.26 is: 4,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071.62 : 10,604.54 = 3,069.26 : x
  2. Step 2: Convert to fraction form
    7,071.62/10,604.54 = 3,069.26/x
  3. Step 3: Cross multiply
    7,071.62x = 10,604.54 × 3,069.26
  4. Step 4: Simplify right side
    7,071.62x = 32,548,090.44
  5. Step 5: Solve for x
    x = 32,548,090.44/7,071.62
  6. Step 6: Final answer
    x = 4,602.64

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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.