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Finding the Fourth Proportional to 4,674.45, 6,450 and 2,785.99

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Solution

The fourth proportional to 4,674.45, 6,450 and 2,785.99 is: 3,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.45 : 6,450 = 2,785.99 : x
  2. Step 2: Convert to fraction form
    4,674.45/6,450 = 2,785.99/x
  3. Step 3: Cross multiply
    4,674.45x = 6,450 × 2,785.99
  4. Step 4: Simplify right side
    4,674.45x = 17,969,635.50
  5. Step 5: Solve for x
    x = 17,969,635.50/4,674.45
  6. Step 6: Final answer
    x = 3,844.22

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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.