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Finding the Fourth Proportional to 6,491.21, 8,947.35 and 5,072.42

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Solution

The fourth proportional to 6,491.21, 8,947.35 and 5,072.42 is: 6,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.21 : 8,947.35 = 5,072.42 : x
  2. Step 2: Convert to fraction form
    6,491.21/8,947.35 = 5,072.42/x
  3. Step 3: Cross multiply
    6,491.21x = 8,947.35 × 5,072.42
  4. Step 4: Simplify right side
    6,491.21x = 45,384,717.09
  5. Step 5: Solve for x
    x = 45,384,717.09/6,491.21
  6. Step 6: Final answer
    x = 6,991.72

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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.