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Finding the Fourth Proportional to 7,660.83, 11,495.79 and 7,174.89

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Solution

The fourth proportional to 7,660.83, 11,495.79 and 7,174.89 is: 10,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.83 : 11,495.79 = 7,174.89 : x
  2. Step 2: Convert to fraction form
    7,660.83/11,495.79 = 7,174.89/x
  3. Step 3: Cross multiply
    7,660.83x = 11,495.79 × 7,174.89
  4. Step 4: Simplify right side
    7,660.83x = 82,481,028.71
  5. Step 5: Solve for x
    x = 82,481,028.71/7,660.83
  6. Step 6: Final answer
    x = 10,766.59

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1.5x scale

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.