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Finding the Fourth Proportional to 4,657.56, 6,974.82 and 2,703.84

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Solution

The fourth proportional to 4,657.56, 6,974.82 and 2,703.84 is: 4,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.56 : 6,974.82 = 2,703.84 : x
  2. Step 2: Convert to fraction form
    4,657.56/6,974.82 = 2,703.84/x
  3. Step 3: Cross multiply
    4,657.56x = 6,974.82 × 2,703.84
  4. Step 4: Simplify right side
    4,657.56x = 18,858,797.31
  5. Step 5: Solve for x
    x = 18,858,797.31/4,657.56
  6. Step 6: Final answer
    x = 4,049.07

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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.