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Finding the Fourth Proportional to 14,080.66, 21,107.34 and 7,834.96

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Solution

The fourth proportional to 14,080.66, 21,107.34 and 7,834.96 is: 11,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.66 : 21,107.34 = 7,834.96 : x
  2. Step 2: Convert to fraction form
    14,080.66/21,107.34 = 7,834.96/x
  3. Step 3: Cross multiply
    14,080.66x = 21,107.34 × 7,834.96
  4. Step 4: Simplify right side
    14,080.66x = 165,375,164.61
  5. Step 5: Solve for x
    x = 165,375,164.61/14,080.66
  6. Step 6: Final answer
    x = 11,744.84

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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.