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Finding the Fourth Proportional to 4,692.70, 6,472.80 and 3,414.46

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Solution

The fourth proportional to 4,692.70, 6,472.80 and 3,414.46 is: 4,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.70 : 6,472.80 = 3,414.46 : x
  2. Step 2: Convert to fraction form
    4,692.70/6,472.80 = 3,414.46/x
  3. Step 3: Cross multiply
    4,692.70x = 6,472.80 × 3,414.46
  4. Step 4: Simplify right side
    4,692.70x = 22,101,116.69
  5. Step 5: Solve for x
    x = 22,101,116.69/4,692.70
  6. Step 6: Final answer
    x = 4,709.68

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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.