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Finding the Fourth Proportional to 5,946.94, 8,205.94 and 3,428.85

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Solution

The fourth proportional to 5,946.94, 8,205.94 and 3,428.85 is: 4,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.94 : 8,205.94 = 3,428.85 : x
  2. Step 2: Convert to fraction form
    5,946.94/8,205.94 = 3,428.85/x
  3. Step 3: Cross multiply
    5,946.94x = 8,205.94 × 3,428.85
  4. Step 4: Simplify right side
    5,946.94x = 28,136,937.37
  5. Step 5: Solve for x
    x = 28,136,937.37/5,946.94
  6. Step 6: Final answer
    x = 4,731.33

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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.