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Finding the Fourth Proportional to 8,546.40, 12,794.40 and 6,364.80

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Solution

The fourth proportional to 8,546.40, 12,794.40 and 6,364.80 is: 9,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.40 : 12,794.40 = 6,364.80 : x
  2. Step 2: Convert to fraction form
    8,546.40/12,794.40 = 6,364.80/x
  3. Step 3: Cross multiply
    8,546.40x = 12,794.40 × 6,364.80
  4. Step 4: Simplify right side
    8,546.40x = 81,433,797.12
  5. Step 5: Solve for x
    x = 81,433,797.12/8,546.40
  6. Step 6: Final answer
    x = 9,528.43

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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.