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Finding the Fourth Proportional to 9,608, 14,412 and 2,682.48

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Solution

The fourth proportional to 9,608, 14,412 and 2,682.48 is: 4,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608 : 14,412 = 2,682.48 : x
  2. Step 2: Convert to fraction form
    9,608/14,412 = 2,682.48/x
  3. Step 3: Cross multiply
    9,608x = 14,412 × 2,682.48
  4. Step 4: Simplify right side
    9,608x = 38,659,901.76
  5. Step 5: Solve for x
    x = 38,659,901.76/9,608
  6. Step 6: Final answer
    x = 4,023.72

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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.