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Finding the Fourth Proportional to 6,474.84, 9,711.78 and 3,692.76

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Solution

The fourth proportional to 6,474.84, 9,711.78 and 3,692.76 is: 5,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.84 : 9,711.78 = 3,692.76 : x
  2. Step 2: Convert to fraction form
    6,474.84/9,711.78 = 3,692.76/x
  3. Step 3: Cross multiply
    6,474.84x = 9,711.78 × 3,692.76
  4. Step 4: Simplify right side
    6,474.84x = 35,863,272.71
  5. Step 5: Solve for x
    x = 35,863,272.71/6,474.84
  6. Step 6: Final answer
    x = 5,538.87

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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.