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Finding the Fourth Proportional to 6,284, 9,426 and 1,667

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Solution

The fourth proportional to 6,284, 9,426 and 1,667 is: 2,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 9,426 = 1,667 : x
  2. Step 2: Convert to fraction form
    6,284/9,426 = 1,667/x
  3. Step 3: Cross multiply
    6,284x = 9,426 × 1,667
  4. Step 4: Simplify right side
    6,284x = 15,713,142
  5. Step 5: Solve for x
    x = 15,713,142/6,284
  6. Step 6: Final answer
    x = 2,500.50

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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.