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Finding the Fourth Proportional to 6,325, 9,487.50 and 1,708

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Solution

The fourth proportional to 6,325, 9,487.50 and 1,708 is: 2,562

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325 : 9,487.50 = 1,708 : x
  2. Step 2: Convert to fraction form
    6,325/9,487.50 = 1,708/x
  3. Step 3: Cross multiply
    6,325x = 9,487.50 × 1,708
  4. Step 4: Simplify right side
    6,325x = 16,204,650
  5. Step 5: Solve for x
    x = 16,204,650/6,325
  6. Step 6: Final answer
    x = 2,562

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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.