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Finding the Fourth Proportional to 6,940.67, 9,563.96 and 4,946.99

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Solution

The fourth proportional to 6,940.67, 9,563.96 and 4,946.99 is: 6,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.67 : 9,563.96 = 4,946.99 : x
  2. Step 2: Convert to fraction form
    6,940.67/9,563.96 = 4,946.99/x
  3. Step 3: Cross multiply
    6,940.67x = 9,563.96 × 4,946.99
  4. Step 4: Simplify right side
    6,940.67x = 47,312,789.75
  5. Step 5: Solve for x
    x = 47,312,789.75/6,940.67
  6. Step 6: Final answer
    x = 6,816.75

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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.