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Finding the Fourth Proportional to 6,885.46, 10,328.10 and 1,691.38

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Solution

The fourth proportional to 6,885.46, 10,328.10 and 1,691.38 is: 2,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.46 : 10,328.10 = 1,691.38 : x
  2. Step 2: Convert to fraction form
    6,885.46/10,328.10 = 1,691.38/x
  3. Step 3: Cross multiply
    6,885.46x = 10,328.10 × 1,691.38
  4. Step 4: Simplify right side
    6,885.46x = 17,468,741.78
  5. Step 5: Solve for x
    x = 17,468,741.78/6,885.46
  6. Step 6: Final answer
    x = 2,537.05

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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.