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Finding the Fourth Proportional to 4,676.03, 6,446.73 and 3,778.77

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Solution

The fourth proportional to 4,676.03, 6,446.73 and 3,778.77 is: 5,209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.03 : 6,446.73 = 3,778.77 : x
  2. Step 2: Convert to fraction form
    4,676.03/6,446.73 = 3,778.77/x
  3. Step 3: Cross multiply
    4,676.03x = 6,446.73 × 3,778.77
  4. Step 4: Simplify right side
    4,676.03x = 24,360,709.92
  5. Step 5: Solve for x
    x = 24,360,709.92/4,676.03
  6. Step 6: Final answer
    x = 5,209.70

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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.