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Finding the Fourth Proportional to 6,537, 9,000.52 and 5,769.68

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Solution

The fourth proportional to 6,537, 9,000.52 and 5,769.68 is: 7,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,000.52 = 5,769.68 : x
  2. Step 2: Convert to fraction form
    6,537/9,000.52 = 5,769.68/x
  3. Step 3: Cross multiply
    6,537x = 9,000.52 × 5,769.68
  4. Step 4: Simplify right side
    6,537x = 51,930,120.23
  5. Step 5: Solve for x
    x = 51,930,120.23/6,537
  6. Step 6: Final answer
    x = 7,944.03

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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.