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Finding the Fourth Proportional to 6,205.92, 8,563.72 and 3,687.92

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Solution

The fourth proportional to 6,205.92, 8,563.72 and 3,687.92 is: 5,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.92 : 8,563.72 = 3,687.92 : x
  2. Step 2: Convert to fraction form
    6,205.92/8,563.72 = 3,687.92/x
  3. Step 3: Cross multiply
    6,205.92x = 8,563.72 × 3,687.92
  4. Step 4: Simplify right side
    6,205.92x = 31,582,314.26
  5. Step 5: Solve for x
    x = 31,582,314.26/6,205.92
  6. Step 6: Final answer
    x = 5,089.06

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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.