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Finding the Fourth Proportional to 3,262.14, 4,893.53 and 922.22

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Solution

The fourth proportional to 3,262.14, 4,893.53 and 922.22 is: 1,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.14 : 4,893.53 = 922.22 : x
  2. Step 2: Convert to fraction form
    3,262.14/4,893.53 = 922.22/x
  3. Step 3: Cross multiply
    3,262.14x = 4,893.53 × 922.22
  4. Step 4: Simplify right side
    3,262.14x = 4,512,922.45
  5. Step 5: Solve for x
    x = 4,512,922.45/3,262.14
  6. Step 6: Final answer
    x = 1,383.42

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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.