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Finding the Fourth Proportional to 6,280.65, 9,420.84 and 1,898.46

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Solution

The fourth proportional to 6,280.65, 9,420.84 and 1,898.46 is: 2,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.65 : 9,420.84 = 1,898.46 : x
  2. Step 2: Convert to fraction form
    6,280.65/9,420.84 = 1,898.46/x
  3. Step 3: Cross multiply
    6,280.65x = 9,420.84 × 1,898.46
  4. Step 4: Simplify right side
    6,280.65x = 17,885,087.91
  5. Step 5: Solve for x
    x = 17,885,087.91/6,280.65
  6. Step 6: Final answer
    x = 2,847.65

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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.