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Finding the Fourth Proportional to 6,474.82, 9,712.24 and 2,774.65

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Solution

The fourth proportional to 6,474.82, 9,712.24 and 2,774.65 is: 4,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.82 : 9,712.24 = 2,774.65 : x
  2. Step 2: Convert to fraction form
    6,474.82/9,712.24 = 2,774.65/x
  3. Step 3: Cross multiply
    6,474.82x = 9,712.24 × 2,774.65
  4. Step 4: Simplify right side
    6,474.82x = 26,948,052.84
  5. Step 5: Solve for x
    x = 26,948,052.84/6,474.82
  6. Step 6: Final answer
    x = 4,161.98

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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.