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Finding the Fourth Proportional to 6,538.53, 9,802.27 and 2,837.97

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Solution

The fourth proportional to 6,538.53, 9,802.27 and 2,837.97 is: 4,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.53 : 9,802.27 = 2,837.97 : x
  2. Step 2: Convert to fraction form
    6,538.53/9,802.27 = 2,837.97/x
  3. Step 3: Cross multiply
    6,538.53x = 9,802.27 × 2,837.97
  4. Step 4: Simplify right side
    6,538.53x = 27,818,548.19
  5. Step 5: Solve for x
    x = 27,818,548.19/6,538.53
  6. Step 6: Final answer
    x = 4,254.56

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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.