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Finding the Fourth Proportional to 4,093.46, 6,140.14 and 2,450.46

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Solution

The fourth proportional to 4,093.46, 6,140.14 and 2,450.46 is: 3,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.46 : 6,140.14 = 2,450.46 : x
  2. Step 2: Convert to fraction form
    4,093.46/6,140.14 = 2,450.46/x
  3. Step 3: Cross multiply
    4,093.46x = 6,140.14 × 2,450.46
  4. Step 4: Simplify right side
    4,093.46x = 15,046,155.21
  5. Step 5: Solve for x
    x = 15,046,155.21/4,093.46
  6. Step 6: Final answer
    x = 3,675.66

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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.