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Finding the Fourth Proportional to 30,863.24, 46,297.54 and 8,676.80

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Solution

The fourth proportional to 30,863.24, 46,297.54 and 8,676.80 is: 13,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.24 : 46,297.54 = 8,676.80 : x
  2. Step 2: Convert to fraction form
    30,863.24/46,297.54 = 8,676.80/x
  3. Step 3: Cross multiply
    30,863.24x = 46,297.54 × 8,676.80
  4. Step 4: Simplify right side
    30,863.24x = 401,714,495.07
  5. Step 5: Solve for x
    x = 401,714,495.07/30,863.24
  6. Step 6: Final answer
    x = 13,015.95

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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.