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Finding the Fourth Proportional to 6,537, 9,817.92 and 6,270.84

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Solution

The fourth proportional to 6,537, 9,817.92 and 6,270.84 is: 9,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537 : 9,817.92 = 6,270.84 : x
  2. Step 2: Convert to fraction form
    6,537/9,817.92 = 6,270.84/x
  3. Step 3: Cross multiply
    6,537x = 9,817.92 × 6,270.84
  4. Step 4: Simplify right side
    6,537x = 61,566,605.45
  5. Step 5: Solve for x
    x = 61,566,605.45/6,537
  6. Step 6: Final answer
    x = 9,418.17

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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.