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Finding the Fourth Proportional to 6,924.44, 9,564.54 and 4,837.88

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Solution

The fourth proportional to 6,924.44, 9,564.54 and 4,837.88 is: 6,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.44 : 9,564.54 = 4,837.88 : x
  2. Step 2: Convert to fraction form
    6,924.44/9,564.54 = 4,837.88/x
  3. Step 3: Cross multiply
    6,924.44x = 9,564.54 × 4,837.88
  4. Step 4: Simplify right side
    6,924.44x = 46,272,096.78
  5. Step 5: Solve for x
    x = 46,272,096.78/6,924.44
  6. Step 6: Final answer
    x = 6,682.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.