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Finding the Fourth Proportional to 11,682.52, 17,527.02 and 6,743.14

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Solution

The fourth proportional to 11,682.52, 17,527.02 and 6,743.14 is: 10,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.52 : 17,527.02 = 6,743.14 : x
  2. Step 2: Convert to fraction form
    11,682.52/17,527.02 = 6,743.14/x
  3. Step 3: Cross multiply
    11,682.52x = 17,527.02 × 6,743.14
  4. Step 4: Simplify right side
    11,682.52x = 118,187,149.64
  5. Step 5: Solve for x
    x = 118,187,149.64/11,682.52
  6. Step 6: Final answer
    x = 10,116.58

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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.