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Finding the Fourth Proportional to 6,658.65, 9,188.87 and 3,674.51

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Solution

The fourth proportional to 6,658.65, 9,188.87 and 3,674.51 is: 5,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.65 : 9,188.87 = 3,674.51 : x
  2. Step 2: Convert to fraction form
    6,658.65/9,188.87 = 3,674.51/x
  3. Step 3: Cross multiply
    6,658.65x = 9,188.87 × 3,674.51
  4. Step 4: Simplify right side
    6,658.65x = 33,764,594.70
  5. Step 5: Solve for x
    x = 33,764,594.70/6,658.65
  6. Step 6: Final answer
    x = 5,070.79

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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.