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Finding the Fourth Proportional to 6,491.94, 9,734.01 and 2,977.54

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Solution

The fourth proportional to 6,491.94, 9,734.01 and 2,977.54 is: 4,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.94 : 9,734.01 = 2,977.54 : x
  2. Step 2: Convert to fraction form
    6,491.94/9,734.01 = 2,977.54/x
  3. Step 3: Cross multiply
    6,491.94x = 9,734.01 × 2,977.54
  4. Step 4: Simplify right side
    6,491.94x = 28,983,404.14
  5. Step 5: Solve for x
    x = 28,983,404.14/6,491.94
  6. Step 6: Final answer
    x = 4,464.52

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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.