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Finding the Fourth Proportional to 6,266.48, 9,436.32 and 4,634.51

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Solution

The fourth proportional to 6,266.48, 9,436.32 and 4,634.51 is: 6,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.48 : 9,436.32 = 4,634.51 : x
  2. Step 2: Convert to fraction form
    6,266.48/9,436.32 = 4,634.51/x
  3. Step 3: Cross multiply
    6,266.48x = 9,436.32 × 4,634.51
  4. Step 4: Simplify right side
    6,266.48x = 43,732,672.22
  5. Step 5: Solve for x
    x = 43,732,672.22/6,266.48
  6. Step 6: Final answer
    x = 6,978.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.