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Finding the Fourth Proportional to 6,076.70, 9,114 and 1,694.18

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Solution

The fourth proportional to 6,076.70, 9,114 and 1,694.18 is: 2,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.70 : 9,114 = 1,694.18 : x
  2. Step 2: Convert to fraction form
    6,076.70/9,114 = 1,694.18/x
  3. Step 3: Cross multiply
    6,076.70x = 9,114 × 1,694.18
  4. Step 4: Simplify right side
    6,076.70x = 15,440,756.52
  5. Step 5: Solve for x
    x = 15,440,756.52/6,076.70
  6. Step 6: Final answer
    x = 2,540.98

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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.