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Finding the Fourth Proportional to 4,491.87, 6,738.99 and 4,001.64

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Solution

The fourth proportional to 4,491.87, 6,738.99 and 4,001.64 is: 6,003.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.87 : 6,738.99 = 4,001.64 : x
  2. Step 2: Convert to fraction form
    4,491.87/6,738.99 = 4,001.64/x
  3. Step 3: Cross multiply
    4,491.87x = 6,738.99 × 4,001.64
  4. Step 4: Simplify right side
    4,491.87x = 26,967,011.94
  5. Step 5: Solve for x
    x = 26,967,011.94/4,491.87
  6. Step 6: Final answer
    x = 6,003.52

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1.5x scale

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.