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Finding the Fourth Proportional to 10,241.64, 14,134.10 and 5,992.79

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Solution

The fourth proportional to 10,241.64, 14,134.10 and 5,992.79 is: 8,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.64 : 14,134.10 = 5,992.79 : x
  2. Step 2: Convert to fraction form
    10,241.64/14,134.10 = 5,992.79/x
  3. Step 3: Cross multiply
    10,241.64x = 14,134.10 × 5,992.79
  4. Step 4: Simplify right side
    10,241.64x = 84,702,592.50
  5. Step 5: Solve for x
    x = 84,702,592.50/10,241.64
  6. Step 6: Final answer
    x = 8,270.41

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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.