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Finding the Fourth Proportional to 6,474.94, 8,935.82 and 3,680.44

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Solution

The fourth proportional to 6,474.94, 8,935.82 and 3,680.44 is: 5,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.94 : 8,935.82 = 3,680.44 : x
  2. Step 2: Convert to fraction form
    6,474.94/8,935.82 = 3,680.44/x
  3. Step 3: Cross multiply
    6,474.94x = 8,935.82 × 3,680.44
  4. Step 4: Simplify right side
    6,474.94x = 32,887,722.42
  5. Step 5: Solve for x
    x = 32,887,722.42/6,474.94
  6. Step 6: Final answer
    x = 5,079.23

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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.