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Finding the Fourth Proportional to 11,809.60, 17,714.40 and 6,614.80

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Solution

The fourth proportional to 11,809.60, 17,714.40 and 6,614.80 is: 9,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.60 : 17,714.40 = 6,614.80 : x
  2. Step 2: Convert to fraction form
    11,809.60/17,714.40 = 6,614.80/x
  3. Step 3: Cross multiply
    11,809.60x = 17,714.40 × 6,614.80
  4. Step 4: Simplify right side
    11,809.60x = 117,177,213.12
  5. Step 5: Solve for x
    x = 117,177,213.12/11,809.60
  6. Step 6: Final answer
    x = 9,922.20

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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.