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Finding the Fourth Proportional to 6,835.31, 10,253.54 and 1,905

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Solution

The fourth proportional to 6,835.31, 10,253.54 and 1,905 is: 2,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.31 : 10,253.54 = 1,905 : x
  2. Step 2: Convert to fraction form
    6,835.31/10,253.54 = 1,905/x
  3. Step 3: Cross multiply
    6,835.31x = 10,253.54 × 1,905
  4. Step 4: Simplify right side
    6,835.31x = 19,532,993.70
  5. Step 5: Solve for x
    x = 19,532,993.70/6,835.31
  6. Step 6: Final answer
    x = 2,857.66

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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.