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Finding the Fourth Proportional to 4,706.20, 6,494.94 and 2,611

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Solution

The fourth proportional to 4,706.20, 6,494.94 and 2,611 is: 3,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.20 : 6,494.94 = 2,611 : x
  2. Step 2: Convert to fraction form
    4,706.20/6,494.94 = 2,611/x
  3. Step 3: Cross multiply
    4,706.20x = 6,494.94 × 2,611
  4. Step 4: Simplify right side
    4,706.20x = 16,958,288.34
  5. Step 5: Solve for x
    x = 16,958,288.34/4,706.20
  6. Step 6: Final answer
    x = 3,603.39

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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.