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Finding the Fourth Proportional to 6,536.77, 9,806.54 and 2,154.13

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Solution

The fourth proportional to 6,536.77, 9,806.54 and 2,154.13 is: 3,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.77 : 9,806.54 = 2,154.13 : x
  2. Step 2: Convert to fraction form
    6,536.77/9,806.54 = 2,154.13/x
  3. Step 3: Cross multiply
    6,536.77x = 9,806.54 × 2,154.13
  4. Step 4: Simplify right side
    6,536.77x = 21,124,526.72
  5. Step 5: Solve for x
    x = 21,124,526.72/6,536.77
  6. Step 6: Final answer
    x = 3,231.65

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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.