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Finding the Fourth Proportional to 6,555.60, 9,783.30 and 5,086.80

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Solution

The fourth proportional to 6,555.60, 9,783.30 and 5,086.80 is: 7,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.60 : 9,783.30 = 5,086.80 : x
  2. Step 2: Convert to fraction form
    6,555.60/9,783.30 = 5,086.80/x
  3. Step 3: Cross multiply
    6,555.60x = 9,783.30 × 5,086.80
  4. Step 4: Simplify right side
    6,555.60x = 49,765,690.44
  5. Step 5: Solve for x
    x = 49,765,690.44/6,555.60
  6. Step 6: Final answer
    x = 7,591.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.