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Finding the Fourth Proportional to 6,830.98, 10,177.40 and 6,734.68

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Solution

The fourth proportional to 6,830.98, 10,177.40 and 6,734.68 is: 10,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.98 : 10,177.40 = 6,734.68 : x
  2. Step 2: Convert to fraction form
    6,830.98/10,177.40 = 6,734.68/x
  3. Step 3: Cross multiply
    6,830.98x = 10,177.40 × 6,734.68
  4. Step 4: Simplify right side
    6,830.98x = 68,541,523.63
  5. Step 5: Solve for x
    x = 68,541,523.63/6,830.98
  6. Step 6: Final answer
    x = 10,033.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.