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Finding the Fourth Proportional to 7,104.58, 10,658.42 and 2,174.58

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Solution

The fourth proportional to 7,104.58, 10,658.42 and 2,174.58 is: 3,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.58 : 10,658.42 = 2,174.58 : x
  2. Step 2: Convert to fraction form
    7,104.58/10,658.42 = 2,174.58/x
  3. Step 3: Cross multiply
    7,104.58x = 10,658.42 × 2,174.58
  4. Step 4: Simplify right side
    7,104.58x = 23,177,584.25
  5. Step 5: Solve for x
    x = 23,177,584.25/7,104.58
  6. Step 6: Final answer
    x = 3,262.35

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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.