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Finding the Fourth Proportional to 6,496.99, 9,738.19 and 3,212.39

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Solution

The fourth proportional to 6,496.99, 9,738.19 and 3,212.39 is: 4,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.99 : 9,738.19 = 3,212.39 : x
  2. Step 2: Convert to fraction form
    6,496.99/9,738.19 = 3,212.39/x
  3. Step 3: Cross multiply
    6,496.99x = 9,738.19 × 3,212.39
  4. Step 4: Simplify right side
    6,496.99x = 31,282,864.17
  5. Step 5: Solve for x
    x = 31,282,864.17/6,496.99
  6. Step 6: Final answer
    x = 4,814.98

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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.