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Finding the Fourth Proportional to 6,964, 10,446.25 and 2,283.82

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Solution

The fourth proportional to 6,964, 10,446.25 and 2,283.82 is: 3,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 10,446.25 = 2,283.82 : x
  2. Step 2: Convert to fraction form
    6,964/10,446.25 = 2,283.82/x
  3. Step 3: Cross multiply
    6,964x = 10,446.25 × 2,283.82
  4. Step 4: Simplify right side
    6,964x = 23,857,354.68
  5. Step 5: Solve for x
    x = 23,857,354.68/6,964
  6. Step 6: Final answer
    x = 3,425.81

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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.