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Finding the Fourth Proportional to 6,455.70, 9,683.35 and 1,838.70

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Solution

The fourth proportional to 6,455.70, 9,683.35 and 1,838.70 is: 2,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.70 : 9,683.35 = 1,838.70 : x
  2. Step 2: Convert to fraction form
    6,455.70/9,683.35 = 1,838.70/x
  3. Step 3: Cross multiply
    6,455.70x = 9,683.35 × 1,838.70
  4. Step 4: Simplify right side
    6,455.70x = 17,804,775.65
  5. Step 5: Solve for x
    x = 17,804,775.65/6,455.70
  6. Step 6: Final answer
    x = 2,757.99

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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.