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Finding the Fourth Proportional to 3,096.71, 4,274.92 and 1,962.94

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Solution

The fourth proportional to 3,096.71, 4,274.92 and 1,962.94 is: 2,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.71 : 4,274.92 = 1,962.94 : x
  2. Step 2: Convert to fraction form
    3,096.71/4,274.92 = 1,962.94/x
  3. Step 3: Cross multiply
    3,096.71x = 4,274.92 × 1,962.94
  4. Step 4: Simplify right side
    3,096.71x = 8,391,411.46
  5. Step 5: Solve for x
    x = 8,391,411.46/3,096.71
  6. Step 6: Final answer
    x = 2,709.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.