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Finding the Fourth Proportional to 6,267.76, 9,405.69 and 2,984.56

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Solution

The fourth proportional to 6,267.76, 9,405.69 and 2,984.56 is: 4,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.76 : 9,405.69 = 2,984.56 : x
  2. Step 2: Convert to fraction form
    6,267.76/9,405.69 = 2,984.56/x
  3. Step 3: Cross multiply
    6,267.76x = 9,405.69 × 2,984.56
  4. Step 4: Simplify right side
    6,267.76x = 28,071,846.15
  5. Step 5: Solve for x
    x = 28,071,846.15/6,267.76
  6. Step 6: Final answer
    x = 4,478.77

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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.