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Finding the Fourth Proportional to 4,692.06, 7,046.13 and 4,166.15

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Solution

The fourth proportional to 4,692.06, 7,046.13 and 4,166.15 is: 6,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.06 : 7,046.13 = 4,166.15 : x
  2. Step 2: Convert to fraction form
    4,692.06/7,046.13 = 4,166.15/x
  3. Step 3: Cross multiply
    4,692.06x = 7,046.13 × 4,166.15
  4. Step 4: Simplify right side
    4,692.06x = 29,355,251.60
  5. Step 5: Solve for x
    x = 29,355,251.60/4,692.06
  6. Step 6: Final answer
    x = 6,256.37

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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.