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Finding the Fourth Proportional to 7,709, 10,638.34 and 4,172.14

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Solution

The fourth proportional to 7,709, 10,638.34 and 4,172.14 is: 5,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709 : 10,638.34 = 4,172.14 : x
  2. Step 2: Convert to fraction form
    7,709/10,638.34 = 4,172.14/x
  3. Step 3: Cross multiply
    7,709x = 10,638.34 × 4,172.14
  4. Step 4: Simplify right side
    7,709x = 44,384,643.85
  5. Step 5: Solve for x
    x = 44,384,643.85/7,709
  6. Step 6: Final answer
    x = 5,757.51

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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.