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Finding the Fourth Proportional to 6,538.16, 9,801.71 and 2,837.59

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Solution

The fourth proportional to 6,538.16, 9,801.71 and 2,837.59 is: 4,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.16 : 9,801.71 = 2,837.59 : x
  2. Step 2: Convert to fraction form
    6,538.16/9,801.71 = 2,837.59/x
  3. Step 3: Cross multiply
    6,538.16x = 9,801.71 × 2,837.59
  4. Step 4: Simplify right side
    6,538.16x = 27,813,234.28
  5. Step 5: Solve for x
    x = 27,813,234.28/6,538.16
  6. Step 6: Final answer
    x = 4,253.98

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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.