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Finding the Fourth Proportional to 4,096.71, 6,140.24 and 1,900.83

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Solution

The fourth proportional to 4,096.71, 6,140.24 and 1,900.83 is: 2,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.71 : 6,140.24 = 1,900.83 : x
  2. Step 2: Convert to fraction form
    4,096.71/6,140.24 = 1,900.83/x
  3. Step 3: Cross multiply
    4,096.71x = 6,140.24 × 1,900.83
  4. Step 4: Simplify right side
    4,096.71x = 11,671,573.05
  5. Step 5: Solve for x
    x = 11,671,573.05/4,096.71
  6. Step 6: Final answer
    x = 2,849.01

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Double scale
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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.