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Finding the Fourth Proportional to 4,946.49, 7,415.46 and 2,755.83

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Solution

The fourth proportional to 4,946.49, 7,415.46 and 2,755.83 is: 4,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.49 : 7,415.46 = 2,755.83 : x
  2. Step 2: Convert to fraction form
    4,946.49/7,415.46 = 2,755.83/x
  3. Step 3: Cross multiply
    4,946.49x = 7,415.46 × 2,755.83
  4. Step 4: Simplify right side
    4,946.49x = 20,435,747.13
  5. Step 5: Solve for x
    x = 20,435,747.13/4,946.49
  6. Step 6: Final answer
    x = 4,131.36

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1.5x scale

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.