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Finding the Fourth Proportional to 6,645.79, 9,170.18 and 3,774.07

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Solution

The fourth proportional to 6,645.79, 9,170.18 and 3,774.07 is: 5,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.79 : 9,170.18 = 3,774.07 : x
  2. Step 2: Convert to fraction form
    6,645.79/9,170.18 = 3,774.07/x
  3. Step 3: Cross multiply
    6,645.79x = 9,170.18 × 3,774.07
  4. Step 4: Simplify right side
    6,645.79x = 34,608,855.38
  5. Step 5: Solve for x
    x = 34,608,855.38/6,645.79
  6. Step 6: Final answer
    x = 5,207.64

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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.