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Finding the Fourth Proportional to 11,843.90, 17,762.31 and 9,758.73

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Solution

The fourth proportional to 11,843.90, 17,762.31 and 9,758.73 is: 14,635.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.90 : 17,762.31 = 9,758.73 : x
  2. Step 2: Convert to fraction form
    11,843.90/17,762.31 = 9,758.73/x
  3. Step 3: Cross multiply
    11,843.90x = 17,762.31 × 9,758.73
  4. Step 4: Simplify right side
    11,843.90x = 173,337,587.47
  5. Step 5: Solve for x
    x = 173,337,587.47/11,843.90
  6. Step 6: Final answer
    x = 14,635.18

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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.