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Finding the Fourth Proportional to 8,046.63, 12,068.78 and 4,096.26

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Solution

The fourth proportional to 8,046.63, 12,068.78 and 4,096.26 is: 6,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.63 : 12,068.78 = 4,096.26 : x
  2. Step 2: Convert to fraction form
    8,046.63/12,068.78 = 4,096.26/x
  3. Step 3: Cross multiply
    8,046.63x = 12,068.78 × 4,096.26
  4. Step 4: Simplify right side
    8,046.63x = 49,436,840.28
  5. Step 5: Solve for x
    x = 49,436,840.28/8,046.63
  6. Step 6: Final answer
    x = 6,143.79

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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.