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Finding the Fourth Proportional to 4,474.70, 6,713.21 and 1,701.42

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Solution

The fourth proportional to 4,474.70, 6,713.21 and 1,701.42 is: 2,552.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.70 : 6,713.21 = 1,701.42 : x
  2. Step 2: Convert to fraction form
    4,474.70/6,713.21 = 1,701.42/x
  3. Step 3: Cross multiply
    4,474.70x = 6,713.21 × 1,701.42
  4. Step 4: Simplify right side
    4,474.70x = 11,421,989.76
  5. Step 5: Solve for x
    x = 11,421,989.76/4,474.70
  6. Step 6: Final answer
    x = 2,552.57

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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.