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Finding the Fourth Proportional to 8,546.60, 12,822.60 and 4,164.50

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Solution

The fourth proportional to 8,546.60, 12,822.60 and 4,164.50 is: 6,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.60 : 12,822.60 = 4,164.50 : x
  2. Step 2: Convert to fraction form
    8,546.60/12,822.60 = 4,164.50/x
  3. Step 3: Cross multiply
    8,546.60x = 12,822.60 × 4,164.50
  4. Step 4: Simplify right side
    8,546.60x = 53,399,717.70
  5. Step 5: Solve for x
    x = 53,399,717.70/8,546.60
  6. Step 6: Final answer
    x = 6,248.07

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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.