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Finding the Fourth Proportional to 6,280.44, 9,421.11 and 1,898.24

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Solution

The fourth proportional to 6,280.44, 9,421.11 and 1,898.24 is: 2,847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.44 : 9,421.11 = 1,898.24 : x
  2. Step 2: Convert to fraction form
    6,280.44/9,421.11 = 1,898.24/x
  3. Step 3: Cross multiply
    6,280.44x = 9,421.11 × 1,898.24
  4. Step 4: Simplify right side
    6,280.44x = 17,883,480.74
  5. Step 5: Solve for x
    x = 17,883,480.74/6,280.44
  6. Step 6: Final answer
    x = 2,847.49

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Why These Related Problems?

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