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Finding the Fourth Proportional to 4,096.34, 6,141.89 and 1,905.74

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Solution

The fourth proportional to 4,096.34, 6,141.89 and 1,905.74 is: 2,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.34 : 6,141.89 = 1,905.74 : x
  2. Step 2: Convert to fraction form
    4,096.34/6,141.89 = 1,905.74/x
  3. Step 3: Cross multiply
    4,096.34x = 6,141.89 × 1,905.74
  4. Step 4: Simplify right side
    4,096.34x = 11,704,819.50
  5. Step 5: Solve for x
    x = 11,704,819.50/4,096.34
  6. Step 6: Final answer
    x = 2,857.39

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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.