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Finding the Fourth Proportional to 6,399.78, 9,598.14 and 2,450.22

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Solution

The fourth proportional to 6,399.78, 9,598.14 and 2,450.22 is: 3,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.78 : 9,598.14 = 2,450.22 : x
  2. Step 2: Convert to fraction form
    6,399.78/9,598.14 = 2,450.22/x
  3. Step 3: Cross multiply
    6,399.78x = 9,598.14 × 2,450.22
  4. Step 4: Simplify right side
    6,399.78x = 23,517,554.59
  5. Step 5: Solve for x
    x = 23,517,554.59/6,399.78
  6. Step 6: Final answer
    x = 3,674.74

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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.