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Finding the Fourth Proportional to 6,898.57, 10,348.23 and 1,967.83

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Solution

The fourth proportional to 6,898.57, 10,348.23 and 1,967.83 is: 2,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.57 : 10,348.23 = 1,967.83 : x
  2. Step 2: Convert to fraction form
    6,898.57/10,348.23 = 1,967.83/x
  3. Step 3: Cross multiply
    6,898.57x = 10,348.23 × 1,967.83
  4. Step 4: Simplify right side
    6,898.57x = 20,363,505.70
  5. Step 5: Solve for x
    x = 20,363,505.70/6,898.57
  6. Step 6: Final answer
    x = 2,951.85

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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.