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Finding the Fourth Proportional to 25,361.37, 38,046.15 and 7,827.09

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Solution

The fourth proportional to 25,361.37, 38,046.15 and 7,827.09 is: 11,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,361.37 : 38,046.15 = 7,827.09 : x
  2. Step 2: Convert to fraction form
    25,361.37/38,046.15 = 7,827.09/x
  3. Step 3: Cross multiply
    25,361.37x = 38,046.15 × 7,827.09
  4. Step 4: Simplify right side
    25,361.37x = 297,790,640.20
  5. Step 5: Solve for x
    x = 297,790,640.20/25,361.37
  6. Step 6: Final answer
    x = 11,741.90

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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.