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Finding the Fourth Proportional to 6,483.44, 9,723.12 and 2,099.88

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Solution

The fourth proportional to 6,483.44, 9,723.12 and 2,099.88 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.44 : 9,723.12 = 2,099.88 : x
  2. Step 2: Convert to fraction form
    6,483.44/9,723.12 = 2,099.88/x
  3. Step 3: Cross multiply
    6,483.44x = 9,723.12 × 2,099.88
  4. Step 4: Simplify right side
    6,483.44x = 20,417,385.23
  5. Step 5: Solve for x
    x = 20,417,385.23/6,483.44
  6. Step 6: Final answer
    x = 3,149.16

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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.