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Finding the Fourth Proportional to 4,906.98, 7,356.22 and 1,983.39

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Solution

The fourth proportional to 4,906.98, 7,356.22 and 1,983.39 is: 2,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.98 : 7,356.22 = 1,983.39 : x
  2. Step 2: Convert to fraction form
    4,906.98/7,356.22 = 1,983.39/x
  3. Step 3: Cross multiply
    4,906.98x = 7,356.22 × 1,983.39
  4. Step 4: Simplify right side
    4,906.98x = 14,590,220.64
  5. Step 5: Solve for x
    x = 14,590,220.64/4,906.98
  6. Step 6: Final answer
    x = 2,973.36

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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.