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Finding the Fourth Proportional to 6,537.84, 9,801.08 and 3,249.24

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Solution

The fourth proportional to 6,537.84, 9,801.08 and 3,249.24 is: 4,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.84 : 9,801.08 = 3,249.24 : x
  2. Step 2: Convert to fraction form
    6,537.84/9,801.08 = 3,249.24/x
  3. Step 3: Cross multiply
    6,537.84x = 9,801.08 × 3,249.24
  4. Step 4: Simplify right side
    6,537.84x = 31,846,061.18
  5. Step 5: Solve for x
    x = 31,846,061.18/6,537.84
  6. Step 6: Final answer
    x = 4,871.04

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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.