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Finding the Fourth Proportional to 6,329.99, 9,497.18 and 2,822.49

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Solution

The fourth proportional to 6,329.99, 9,497.18 and 2,822.49 is: 4,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.99 : 9,497.18 = 2,822.49 : x
  2. Step 2: Convert to fraction form
    6,329.99/9,497.18 = 2,822.49/x
  3. Step 3: Cross multiply
    6,329.99x = 9,497.18 × 2,822.49
  4. Step 4: Simplify right side
    6,329.99x = 26,805,681.47
  5. Step 5: Solve for x
    x = 26,805,681.47/6,329.99
  6. Step 6: Final answer
    x = 4,234.71

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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.