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Finding the Fourth Proportional to 7,142.01, 10,712.42 and 2,462.01

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Solution

The fourth proportional to 7,142.01, 10,712.42 and 2,462.01 is: 3,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.01 : 10,712.42 = 2,462.01 : x
  2. Step 2: Convert to fraction form
    7,142.01/10,712.42 = 2,462.01/x
  3. Step 3: Cross multiply
    7,142.01x = 10,712.42 × 2,462.01
  4. Step 4: Simplify right side
    7,142.01x = 26,374,072.85
  5. Step 5: Solve for x
    x = 26,374,072.85/7,142.01
  6. Step 6: Final answer
    x = 3,692.81

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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.