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Finding the Fourth Proportional to 11,893.47, 17,835.41 and 7,727.23

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Solution

The fourth proportional to 11,893.47, 17,835.41 and 7,727.23 is: 11,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.47 : 17,835.41 = 7,727.23 : x
  2. Step 2: Convert to fraction form
    11,893.47/17,835.41 = 7,727.23/x
  3. Step 3: Cross multiply
    11,893.47x = 17,835.41 × 7,727.23
  4. Step 4: Simplify right side
    11,893.47x = 137,818,315.21
  5. Step 5: Solve for x
    x = 137,818,315.21/11,893.47
  6. Step 6: Final answer
    x = 11,587.73

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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.