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Finding the Fourth Proportional to 7,537, 11,306.46 and 2,065

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Solution

The fourth proportional to 7,537, 11,306.46 and 2,065 is: 3,097.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537 : 11,306.46 = 2,065 : x
  2. Step 2: Convert to fraction form
    7,537/11,306.46 = 2,065/x
  3. Step 3: Cross multiply
    7,537x = 11,306.46 × 2,065
  4. Step 4: Simplify right side
    7,537x = 23,347,839.90
  5. Step 5: Solve for x
    x = 23,347,839.90/7,537
  6. Step 6: Final answer
    x = 3,097.76

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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.