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Finding the Fourth Proportional to 6,696.70, 10,049.67 and 2,314.20

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Solution

The fourth proportional to 6,696.70, 10,049.67 and 2,314.20 is: 3,472.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.70 : 10,049.67 = 2,314.20 : x
  2. Step 2: Convert to fraction form
    6,696.70/10,049.67 = 2,314.20/x
  3. Step 3: Cross multiply
    6,696.70x = 10,049.67 × 2,314.20
  4. Step 4: Simplify right side
    6,696.70x = 23,256,946.31
  5. Step 5: Solve for x
    x = 23,256,946.31/6,696.70
  6. Step 6: Final answer
    x = 3,472.90

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1.5x scale

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.