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Finding the Fourth Proportional to 6,537.16, 9,800.21 and 2,836.59

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Solution

The fourth proportional to 6,537.16, 9,800.21 and 2,836.59 is: 4,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.16 : 9,800.21 = 2,836.59 : x
  2. Step 2: Convert to fraction form
    6,537.16/9,800.21 = 2,836.59/x
  3. Step 3: Cross multiply
    6,537.16x = 9,800.21 × 2,836.59
  4. Step 4: Simplify right side
    6,537.16x = 27,799,132.07
  5. Step 5: Solve for x
    x = 27,799,132.07/6,537.16
  6. Step 6: Final answer
    x = 4,252.48

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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.