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Finding the Fourth Proportional to 8,540.64, 11,786.72 and 5,184.41

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Solution

The fourth proportional to 8,540.64, 11,786.72 and 5,184.41 is: 7,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.64 : 11,786.72 = 5,184.41 : x
  2. Step 2: Convert to fraction form
    8,540.64/11,786.72 = 5,184.41/x
  3. Step 3: Cross multiply
    8,540.64x = 11,786.72 × 5,184.41
  4. Step 4: Simplify right side
    8,540.64x = 61,107,104.18
  5. Step 5: Solve for x
    x = 61,107,104.18/8,540.64
  6. Step 6: Final answer
    x = 7,154.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.