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Finding the Fourth Proportional to 4,946.46, 6,830.94 and 4,234.20

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Solution

The fourth proportional to 4,946.46, 6,830.94 and 4,234.20 is: 5,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.46 : 6,830.94 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    4,946.46/6,830.94 = 4,234.20/x
  3. Step 3: Cross multiply
    4,946.46x = 6,830.94 × 4,234.20
  4. Step 4: Simplify right side
    4,946.46x = 28,923,566.15
  5. Step 5: Solve for x
    x = 28,923,566.15/4,946.46
  6. Step 6: Final answer
    x = 5,847.33

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Double scale
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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.