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Finding the Fourth Proportional to 11,809.50, 17,714.19 and 3,044.40

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Solution

The fourth proportional to 11,809.50, 17,714.19 and 3,044.40 is: 4,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.50 : 17,714.19 = 3,044.40 : x
  2. Step 2: Convert to fraction form
    11,809.50/17,714.19 = 3,044.40/x
  3. Step 3: Cross multiply
    11,809.50x = 17,714.19 × 3,044.40
  4. Step 4: Simplify right side
    11,809.50x = 53,929,080.04
  5. Step 5: Solve for x
    x = 53,929,080.04/11,809.50
  6. Step 6: Final answer
    x = 4,566.58

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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.