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Finding the Fourth Proportional to 6,537.97, 9,801.43 and 2,837.42

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Solution

The fourth proportional to 6,537.97, 9,801.43 and 2,837.42 is: 4,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.97 : 9,801.43 = 2,837.42 : x
  2. Step 2: Convert to fraction form
    6,537.97/9,801.43 = 2,837.42/x
  3. Step 3: Cross multiply
    6,537.97x = 9,801.43 × 2,837.42
  4. Step 4: Simplify right side
    6,537.97x = 27,810,710.32
  5. Step 5: Solve for x
    x = 27,810,710.32/6,537.97
  6. Step 6: Final answer
    x = 4,253.72

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1.5x scale

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.