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Finding the Fourth Proportional to 11,726.76, 17,582.21 and 6,174.22

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Solution

The fourth proportional to 11,726.76, 17,582.21 and 6,174.22 is: 9,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.76 : 17,582.21 = 6,174.22 : x
  2. Step 2: Convert to fraction form
    11,726.76/17,582.21 = 6,174.22/x
  3. Step 3: Cross multiply
    11,726.76x = 17,582.21 × 6,174.22
  4. Step 4: Simplify right side
    11,726.76x = 108,556,432.63
  5. Step 5: Solve for x
    x = 108,556,432.63/11,726.76
  6. Step 6: Final answer
    x = 9,257.15

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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.