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Finding the Fourth Proportional to 6,435, 9,653.94 and 2,274.96

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Solution

The fourth proportional to 6,435, 9,653.94 and 2,274.96 is: 3,412.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435 : 9,653.94 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    6,435/9,653.94 = 2,274.96/x
  3. Step 3: Cross multiply
    6,435x = 9,653.94 × 2,274.96
  4. Step 4: Simplify right side
    6,435x = 21,962,327.34
  5. Step 5: Solve for x
    x = 21,962,327.34/6,435
  6. Step 6: Final answer
    x = 3,412.95

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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.