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Finding the Fourth Proportional to 6,658.35, 9,189.06 and 3,674.50

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Solution

The fourth proportional to 6,658.35, 9,189.06 and 3,674.50 is: 5,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.35 : 9,189.06 = 3,674.50 : x
  2. Step 2: Convert to fraction form
    6,658.35/9,189.06 = 3,674.50/x
  3. Step 3: Cross multiply
    6,658.35x = 9,189.06 × 3,674.50
  4. Step 4: Simplify right side
    6,658.35x = 33,765,200.97
  5. Step 5: Solve for x
    x = 33,765,200.97/6,658.35
  6. Step 6: Final answer
    x = 5,071.11

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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.