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Finding the Fourth Proportional to 6,537, 9,028.49 and 4,437.48

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Solution

The fourth proportional to 6,537, 9,028.49 and 4,437.48 is: 6,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,028.49 = 4,437.48 : x
  2. Step 2: Convert to fraction form
    6,537/9,028.49 = 4,437.48/x
  3. Step 3: Cross multiply
    6,537x = 9,028.49 × 4,437.48
  4. Step 4: Simplify right side
    6,537x = 40,063,721.62
  5. Step 5: Solve for x
    x = 40,063,721.62/6,537
  6. Step 6: Final answer
    x = 6,128.76

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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.