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Finding the Fourth Proportional to 6,537, 9,021.06 and 3,743.04

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Solution

The fourth proportional to 6,537, 9,021.06 and 3,743.04 is: 5,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,021.06 = 3,743.04 : x
  2. Step 2: Convert to fraction form
    6,537/9,021.06 = 3,743.04/x
  3. Step 3: Cross multiply
    6,537x = 9,021.06 × 3,743.04
  4. Step 4: Simplify right side
    6,537x = 33,766,188.42
  5. Step 5: Solve for x
    x = 33,766,188.42/6,537
  6. Step 6: Final answer
    x = 5,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.