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Finding the Fourth Proportional to 6,165.66, 9,268.54 and 4,946.41

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Solution

The fourth proportional to 6,165.66, 9,268.54 and 4,946.41 is: 7,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.66 : 9,268.54 = 4,946.41 : x
  2. Step 2: Convert to fraction form
    6,165.66/9,268.54 = 4,946.41/x
  3. Step 3: Cross multiply
    6,165.66x = 9,268.54 × 4,946.41
  4. Step 4: Simplify right side
    6,165.66x = 45,845,998.94
  5. Step 5: Solve for x
    x = 45,845,998.94/6,165.66
  6. Step 6: Final answer
    x = 7,435.70

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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.