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Finding the Fourth Proportional to 6,476, 9,706.32 and 2,962

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Solution

The fourth proportional to 6,476, 9,706.32 and 2,962 is: 4,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476 : 9,706.32 = 2,962 : x
  2. Step 2: Convert to fraction form
    6,476/9,706.32 = 2,962/x
  3. Step 3: Cross multiply
    6,476x = 9,706.32 × 2,962
  4. Step 4: Simplify right side
    6,476x = 28,750,119.84
  5. Step 5: Solve for x
    x = 28,750,119.84/6,476
  6. Step 6: Final answer
    x = 4,439.49

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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.