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Finding the Fourth Proportional to 7,569, 11,354.14 and 2,097

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Solution

The fourth proportional to 7,569, 11,354.14 and 2,097 is: 3,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569 : 11,354.14 = 2,097 : x
  2. Step 2: Convert to fraction form
    7,569/11,354.14 = 2,097/x
  3. Step 3: Cross multiply
    7,569x = 11,354.14 × 2,097
  4. Step 4: Simplify right side
    7,569x = 23,809,631.58
  5. Step 5: Solve for x
    x = 23,809,631.58/7,569
  6. Step 6: Final answer
    x = 3,145.68

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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.