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Finding the Fourth Proportional to 6,334.54, 8,744.79 and 3,977.98

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Solution

The fourth proportional to 6,334.54, 8,744.79 and 3,977.98 is: 5,491.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.54 : 8,744.79 = 3,977.98 : x
  2. Step 2: Convert to fraction form
    6,334.54/8,744.79 = 3,977.98/x
  3. Step 3: Cross multiply
    6,334.54x = 8,744.79 × 3,977.98
  4. Step 4: Simplify right side
    6,334.54x = 34,786,606.67
  5. Step 5: Solve for x
    x = 34,786,606.67/6,334.54
  6. Step 6: Final answer
    x = 5,491.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.