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Finding the Fourth Proportional to 7,698, 11,548.92 and 2,226

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Solution

The fourth proportional to 7,698, 11,548.92 and 2,226 is: 3,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698 : 11,548.92 = 2,226 : x
  2. Step 2: Convert to fraction form
    7,698/11,548.92 = 2,226/x
  3. Step 3: Cross multiply
    7,698x = 11,548.92 × 2,226
  4. Step 4: Simplify right side
    7,698x = 25,707,895.92
  5. Step 5: Solve for x
    x = 25,707,895.92/7,698
  6. Step 6: Final answer
    x = 3,339.56

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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.