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Finding the Fourth Proportional to 4,076.50, 6,114.75 and 998.50

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Solution

The fourth proportional to 4,076.50, 6,114.75 and 998.50 is: 1,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.50 : 6,114.75 = 998.50 : x
  2. Step 2: Convert to fraction form
    4,076.50/6,114.75 = 998.50/x
  3. Step 3: Cross multiply
    4,076.50x = 6,114.75 × 998.50
  4. Step 4: Simplify right side
    4,076.50x = 6,105,577.88
  5. Step 5: Solve for x
    x = 6,105,577.88/4,076.50
  6. Step 6: Final answer
    x = 1,497.75

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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.