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Finding the Fourth Proportional to 4,713.45, 7,069.68 and 1,940.46

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Solution

The fourth proportional to 4,713.45, 7,069.68 and 1,940.46 is: 2,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.45 : 7,069.68 = 1,940.46 : x
  2. Step 2: Convert to fraction form
    4,713.45/7,069.68 = 1,940.46/x
  3. Step 3: Cross multiply
    4,713.45x = 7,069.68 × 1,940.46
  4. Step 4: Simplify right side
    4,713.45x = 13,718,431.25
  5. Step 5: Solve for x
    x = 13,718,431.25/4,713.45
  6. Step 6: Final answer
    x = 2,910.49

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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.