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Finding the Fourth Proportional to 6,537, 9,799.99 and 2,836.45

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Solution

The fourth proportional to 6,537, 9,799.99 and 2,836.45 is: 4,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,799.99 = 2,836.45 : x
  2. Step 2: Convert to fraction form
    6,537/9,799.99 = 2,836.45/x
  3. Step 3: Cross multiply
    6,537x = 9,799.99 × 2,836.45
  4. Step 4: Simplify right side
    6,537x = 27,797,181.64
  5. Step 5: Solve for x
    x = 27,797,181.64/6,537
  6. Step 6: Final answer
    x = 4,252.28

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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.