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Finding the Fourth Proportional to 8,622, 11,898.36 and 4,896

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Solution

The fourth proportional to 8,622, 11,898.36 and 4,896 is: 6,756.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622 : 11,898.36 = 4,896 : x
  2. Step 2: Convert to fraction form
    8,622/11,898.36 = 4,896/x
  3. Step 3: Cross multiply
    8,622x = 11,898.36 × 4,896
  4. Step 4: Simplify right side
    8,622x = 58,254,370.56
  5. Step 5: Solve for x
    x = 58,254,370.56/8,622
  6. Step 6: Final answer
    x = 6,756.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.