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Finding the Fourth Proportional to 6,536.67, 9,806.54 and 2,153.96

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Solution

The fourth proportional to 6,536.67, 9,806.54 and 2,153.96 is: 3,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.67 : 9,806.54 = 2,153.96 : x
  2. Step 2: Convert to fraction form
    6,536.67/9,806.54 = 2,153.96/x
  3. Step 3: Cross multiply
    6,536.67x = 9,806.54 × 2,153.96
  4. Step 4: Simplify right side
    6,536.67x = 21,122,908.64
  5. Step 5: Solve for x
    x = 21,122,908.64/6,536.67
  6. Step 6: Final answer
    x = 3,231.45

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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.