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Finding the Fourth Proportional to 6,478.95, 9,720.45 and 2,732.43

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Solution

The fourth proportional to 6,478.95, 9,720.45 and 2,732.43 is: 4,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.95 : 9,720.45 = 2,732.43 : x
  2. Step 2: Convert to fraction form
    6,478.95/9,720.45 = 2,732.43/x
  3. Step 3: Cross multiply
    6,478.95x = 9,720.45 × 2,732.43
  4. Step 4: Simplify right side
    6,478.95x = 26,560,449.19
  5. Step 5: Solve for x
    x = 26,560,449.19/6,478.95
  6. Step 6: Final answer
    x = 4,099.50

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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.