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Finding the Fourth Proportional to 6,685.70, 10,028.55 and 6,167.30

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Solution

The fourth proportional to 6,685.70, 10,028.55 and 6,167.30 is: 9,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.70 : 10,028.55 = 6,167.30 : x
  2. Step 2: Convert to fraction form
    6,685.70/10,028.55 = 6,167.30/x
  3. Step 3: Cross multiply
    6,685.70x = 10,028.55 × 6,167.30
  4. Step 4: Simplify right side
    6,685.70x = 61,849,076.42
  5. Step 5: Solve for x
    x = 61,849,076.42/6,685.70
  6. Step 6: Final answer
    x = 9,250.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.