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Finding the Fourth Proportional to 6,678.96, 9,220.62 and 4,027

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Solution

The fourth proportional to 6,678.96, 9,220.62 and 4,027 is: 5,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.96 : 9,220.62 = 4,027 : x
  2. Step 2: Convert to fraction form
    6,678.96/9,220.62 = 4,027/x
  3. Step 3: Cross multiply
    6,678.96x = 9,220.62 × 4,027
  4. Step 4: Simplify right side
    6,678.96x = 37,131,436.74
  5. Step 5: Solve for x
    x = 37,131,436.74/6,678.96
  6. Step 6: Final answer
    x = 5,559.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.