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Finding the Fourth Proportional to 11,757.79, 17,635.06 and 6,829.75

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Solution

The fourth proportional to 11,757.79, 17,635.06 and 6,829.75 is: 10,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.79 : 17,635.06 = 6,829.75 : x
  2. Step 2: Convert to fraction form
    11,757.79/17,635.06 = 6,829.75/x
  3. Step 3: Cross multiply
    11,757.79x = 17,635.06 × 6,829.75
  4. Step 4: Simplify right side
    11,757.79x = 120,443,051.04
  5. Step 5: Solve for x
    x = 120,443,051.04/11,757.79
  6. Step 6: Final answer
    x = 10,243.68

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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.