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Finding the Fourth Proportional to 12,494.40, 18,761.40 and 11,584.80

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Solution

The fourth proportional to 12,494.40, 18,761.40 and 11,584.80 is: 17,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.40 : 18,761.40 = 11,584.80 : x
  2. Step 2: Convert to fraction form
    12,494.40/18,761.40 = 11,584.80/x
  3. Step 3: Cross multiply
    12,494.40x = 18,761.40 × 11,584.80
  4. Step 4: Simplify right side
    12,494.40x = 217,347,066.72
  5. Step 5: Solve for x
    x = 217,347,066.72/12,494.40
  6. Step 6: Final answer
    x = 17,395.56

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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.