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Finding the Fourth Proportional to 6,830.38, 9,426.63 and 4,179.55

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Solution

The fourth proportional to 6,830.38, 9,426.63 and 4,179.55 is: 5,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.38 : 9,426.63 = 4,179.55 : x
  2. Step 2: Convert to fraction form
    6,830.38/9,426.63 = 4,179.55/x
  3. Step 3: Cross multiply
    6,830.38x = 9,426.63 × 4,179.55
  4. Step 4: Simplify right side
    6,830.38x = 39,399,071.42
  5. Step 5: Solve for x
    x = 39,399,071.42/6,830.38
  6. Step 6: Final answer
    x = 5,768.21

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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.