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Finding the Fourth Proportional to 4,804.41, 7,202.21 and 1,682.71

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Solution

The fourth proportional to 4,804.41, 7,202.21 and 1,682.71 is: 2,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.41 : 7,202.21 = 1,682.71 : x
  2. Step 2: Convert to fraction form
    4,804.41/7,202.21 = 1,682.71/x
  3. Step 3: Cross multiply
    4,804.41x = 7,202.21 × 1,682.71
  4. Step 4: Simplify right side
    4,804.41x = 12,119,194.78
  5. Step 5: Solve for x
    x = 12,119,194.78/4,804.41
  6. Step 6: Final answer
    x = 2,522.51

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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.