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Finding the Fourth Proportional to 6,024.65, 8,324.43 and 4,974.89

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Solution

The fourth proportional to 6,024.65, 8,324.43 and 4,974.89 is: 6,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.65 : 8,324.43 = 4,974.89 : x
  2. Step 2: Convert to fraction form
    6,024.65/8,324.43 = 4,974.89/x
  3. Step 3: Cross multiply
    6,024.65x = 8,324.43 × 4,974.89
  4. Step 4: Simplify right side
    6,024.65x = 41,413,123.56
  5. Step 5: Solve for x
    x = 41,413,123.56/6,024.65
  6. Step 6: Final answer
    x = 6,873.95

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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.