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Finding the Fourth Proportional to 11,507.44, 17,257.50 and 3,714.44

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Solution

The fourth proportional to 11,507.44, 17,257.50 and 3,714.44 is: 5,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.44 : 17,257.50 = 3,714.44 : x
  2. Step 2: Convert to fraction form
    11,507.44/17,257.50 = 3,714.44/x
  3. Step 3: Cross multiply
    11,507.44x = 17,257.50 × 3,714.44
  4. Step 4: Simplify right side
    11,507.44x = 64,101,948.30
  5. Step 5: Solve for x
    x = 64,101,948.30/11,507.44
  6. Step 6: Final answer
    x = 5,570.48

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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.