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Finding the Fourth Proportional to 7,698.34, 11,548.73 and 2,503

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Solution

The fourth proportional to 7,698.34, 11,548.73 and 2,503 is: 3,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.34 : 11,548.73 = 2,503 : x
  2. Step 2: Convert to fraction form
    7,698.34/11,548.73 = 2,503/x
  3. Step 3: Cross multiply
    7,698.34x = 11,548.73 × 2,503
  4. Step 4: Simplify right side
    7,698.34x = 28,906,471.19
  5. Step 5: Solve for x
    x = 28,906,471.19/7,698.34
  6. Step 6: Final answer
    x = 3,754.90

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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.