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Finding the Fourth Proportional to 6,771.64, 9,343.74 and 3,977.68

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Solution

The fourth proportional to 6,771.64, 9,343.74 and 3,977.68 is: 5,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.64 : 9,343.74 = 3,977.68 : x
  2. Step 2: Convert to fraction form
    6,771.64/9,343.74 = 3,977.68/x
  3. Step 3: Cross multiply
    6,771.64x = 9,343.74 × 3,977.68
  4. Step 4: Simplify right side
    6,771.64x = 37,166,407.72
  5. Step 5: Solve for x
    x = 37,166,407.72/6,771.64
  6. Step 6: Final answer
    x = 5,488.54

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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.