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Finding the Fourth Proportional to 11,714.88, 17,575.52 and 6,524.40

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Solution

The fourth proportional to 11,714.88, 17,575.52 and 6,524.40 is: 9,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.88 : 17,575.52 = 6,524.40 : x
  2. Step 2: Convert to fraction form
    11,714.88/17,575.52 = 6,524.40/x
  3. Step 3: Cross multiply
    11,714.88x = 17,575.52 × 6,524.40
  4. Step 4: Simplify right side
    11,714.88x = 114,669,722.69
  5. Step 5: Solve for x
    x = 114,669,722.69/11,714.88
  6. Step 6: Final answer
    x = 9,788.38

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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.