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Finding the Fourth Proportional to 6,564.32, 9,845.76 and 3,276.80

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Solution

The fourth proportional to 6,564.32, 9,845.76 and 3,276.80 is: 4,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.32 : 9,845.76 = 3,276.80 : x
  2. Step 2: Convert to fraction form
    6,564.32/9,845.76 = 3,276.80/x
  3. Step 3: Cross multiply
    6,564.32x = 9,845.76 × 3,276.80
  4. Step 4: Simplify right side
    6,564.32x = 32,262,586.37
  5. Step 5: Solve for x
    x = 32,262,586.37/6,564.32
  6. Step 6: Final answer
    x = 4,914.84

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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.