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Finding the Fourth Proportional to 9,049.60, 13,563.60 and 4,664.80

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Solution

The fourth proportional to 9,049.60, 13,563.60 and 4,664.80 is: 6,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.60 : 13,563.60 = 4,664.80 : x
  2. Step 2: Convert to fraction form
    9,049.60/13,563.60 = 4,664.80/x
  3. Step 3: Cross multiply
    9,049.60x = 13,563.60 × 4,664.80
  4. Step 4: Simplify right side
    9,049.60x = 63,271,481.28
  5. Step 5: Solve for x
    x = 63,271,481.28/9,049.60
  6. Step 6: Final answer
    x = 6,991.63

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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.