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Finding the Fourth Proportional to 6,974.07, 9,624.13 and 3,830.06

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Solution

The fourth proportional to 6,974.07, 9,624.13 and 3,830.06 is: 5,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.07 : 9,624.13 = 3,830.06 : x
  2. Step 2: Convert to fraction form
    6,974.07/9,624.13 = 3,830.06/x
  3. Step 3: Cross multiply
    6,974.07x = 9,624.13 × 3,830.06
  4. Step 4: Simplify right side
    6,974.07x = 36,860,937.65
  5. Step 5: Solve for x
    x = 36,860,937.65/6,974.07
  6. Step 6: Final answer
    x = 5,285.43

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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.