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Finding the Fourth Proportional to 6,538.34, 9,801.99 and 2,837.79

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Solution

The fourth proportional to 6,538.34, 9,801.99 and 2,837.79 is: 4,254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.34 : 9,801.99 = 2,837.79 : x
  2. Step 2: Convert to fraction form
    6,538.34/9,801.99 = 2,837.79/x
  3. Step 3: Cross multiply
    6,538.34x = 9,801.99 × 2,837.79
  4. Step 4: Simplify right side
    6,538.34x = 27,815,994.36
  5. Step 5: Solve for x
    x = 27,815,994.36/6,538.34
  6. Step 6: Final answer
    x = 4,254.29

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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.