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Finding the Fourth Proportional to 6,550.47, 9,824.96 and 6,165

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Solution

The fourth proportional to 6,550.47, 9,824.96 and 6,165 is: 9,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.47 : 9,824.96 = 6,165 : x
  2. Step 2: Convert to fraction form
    6,550.47/9,824.96 = 6,165/x
  3. Step 3: Cross multiply
    6,550.47x = 9,824.96 × 6,165
  4. Step 4: Simplify right side
    6,550.47x = 60,570,893.81
  5. Step 5: Solve for x
    x = 60,570,893.81/6,550.47
  6. Step 6: Final answer
    x = 9,246.80

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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.