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Finding the Fourth Proportional to 4,906.77, 6,771.53 and 2,811.30

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Solution

The fourth proportional to 4,906.77, 6,771.53 and 2,811.30 is: 3,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.77 : 6,771.53 = 2,811.30 : x
  2. Step 2: Convert to fraction form
    4,906.77/6,771.53 = 2,811.30/x
  3. Step 3: Cross multiply
    4,906.77x = 6,771.53 × 2,811.30
  4. Step 4: Simplify right side
    4,906.77x = 19,036,813.63
  5. Step 5: Solve for x
    x = 19,036,813.63/4,906.77
  6. Step 6: Final answer
    x = 3,879.70

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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.