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Finding the Fourth Proportional to 6,900, 10,351.62 and 2,283

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Solution

The fourth proportional to 6,900, 10,351.62 and 2,283 is: 3,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 10,351.62 = 2,283 : x
  2. Step 2: Convert to fraction form
    6,900/10,351.62 = 2,283/x
  3. Step 3: Cross multiply
    6,900x = 10,351.62 × 2,283
  4. Step 4: Simplify right side
    6,900x = 23,632,748.46
  5. Step 5: Solve for x
    x = 23,632,748.46/6,900
  6. Step 6: Final answer
    x = 3,425.04

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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.