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Finding the Fourth Proportional to 11,829.84, 17,735.84 and 7,148.85

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Solution

The fourth proportional to 11,829.84, 17,735.84 and 7,148.85 is: 10,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.84 : 17,735.84 = 7,148.85 : x
  2. Step 2: Convert to fraction form
    11,829.84/17,735.84 = 7,148.85/x
  3. Step 3: Cross multiply
    11,829.84x = 17,735.84 × 7,148.85
  4. Step 4: Simplify right side
    11,829.84x = 126,790,771.10
  5. Step 5: Solve for x
    x = 126,790,771.10/11,829.84
  6. Step 6: Final answer
    x = 10,717.88

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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.