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Finding the Fourth Proportional to 4,631.22, 6,940.20 and 4,381.74

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Solution

The fourth proportional to 4,631.22, 6,940.20 and 4,381.74 is: 6,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.22 : 6,940.20 = 4,381.74 : x
  2. Step 2: Convert to fraction form
    4,631.22/6,940.20 = 4,381.74/x
  3. Step 3: Cross multiply
    4,631.22x = 6,940.20 × 4,381.74
  4. Step 4: Simplify right side
    4,631.22x = 30,410,151.95
  5. Step 5: Solve for x
    x = 30,410,151.95/4,631.22
  6. Step 6: Final answer
    x = 6,566.34

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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.