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Finding the Fourth Proportional to 15,494.41, 23,241.41 and 3,807.73

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Solution

The fourth proportional to 15,494.41, 23,241.41 and 3,807.73 is: 5,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.41 : 23,241.41 = 3,807.73 : x
  2. Step 2: Convert to fraction form
    15,494.41/23,241.41 = 3,807.73/x
  3. Step 3: Cross multiply
    15,494.41x = 23,241.41 × 3,807.73
  4. Step 4: Simplify right side
    15,494.41x = 88,497,014.10
  5. Step 5: Solve for x
    x = 88,497,014.10/15,494.41
  6. Step 6: Final answer
    x = 5,711.54

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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.