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Finding the Fourth Proportional to 6,964, 9,609.14 and 4,604.88

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Solution

The fourth proportional to 6,964, 9,609.14 and 4,604.88 is: 6,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964 : 9,609.14 = 4,604.88 : x
  2. Step 2: Convert to fraction form
    6,964/9,609.14 = 4,604.88/x
  3. Step 3: Cross multiply
    6,964x = 9,609.14 × 4,604.88
  4. Step 4: Simplify right side
    6,964x = 44,248,936.60
  5. Step 5: Solve for x
    x = 44,248,936.60/6,964
  6. Step 6: Final answer
    x = 6,353.95

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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.