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Finding the Fourth Proportional to 7,073.62, 10,608.69 and 2,569.94

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Solution

The fourth proportional to 7,073.62, 10,608.69 and 2,569.94 is: 3,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.62 : 10,608.69 = 2,569.94 : x
  2. Step 2: Convert to fraction form
    7,073.62/10,608.69 = 2,569.94/x
  3. Step 3: Cross multiply
    7,073.62x = 10,608.69 × 2,569.94
  4. Step 4: Simplify right side
    7,073.62x = 27,263,693.16
  5. Step 5: Solve for x
    x = 27,263,693.16/7,073.62
  6. Step 6: Final answer
    x = 3,854.28

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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.