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Finding the Fourth Proportional to 7,698.94, 11,548.33 and 2,433.95

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Solution

The fourth proportional to 7,698.94, 11,548.33 and 2,433.95 is: 3,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.94 : 11,548.33 = 2,433.95 : x
  2. Step 2: Convert to fraction form
    7,698.94/11,548.33 = 2,433.95/x
  3. Step 3: Cross multiply
    7,698.94x = 11,548.33 × 2,433.95
  4. Step 4: Simplify right side
    7,698.94x = 28,107,993.98
  5. Step 5: Solve for x
    x = 28,107,993.98/7,698.94
  6. Step 6: Final answer
    x = 3,650.89

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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.