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Finding the Fourth Proportional to 6,751.62, 9,314.46 and 4,098.60

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Solution

The fourth proportional to 6,751.62, 9,314.46 and 4,098.60 is: 5,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.62 : 9,314.46 = 4,098.60 : x
  2. Step 2: Convert to fraction form
    6,751.62/9,314.46 = 4,098.60/x
  3. Step 3: Cross multiply
    6,751.62x = 9,314.46 × 4,098.60
  4. Step 4: Simplify right side
    6,751.62x = 38,176,245.76
  5. Step 5: Solve for x
    x = 38,176,245.76/6,751.62
  6. Step 6: Final answer
    x = 5,654.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.