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Finding the Fourth Proportional to 6,472, 9,708 and 1,608

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Solution

The fourth proportional to 6,472, 9,708 and 1,608 is: 2,412

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 9,708 = 1,608 : x
  2. Step 2: Convert to fraction form
    6,472/9,708 = 1,608/x
  3. Step 3: Cross multiply
    6,472x = 9,708 × 1,608
  4. Step 4: Simplify right side
    6,472x = 15,610,464
  5. Step 5: Solve for x
    x = 15,610,464/6,472
  6. Step 6: Final answer
    x = 2,412

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.