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Finding the Fourth Proportional to 11,494.64, 17,231.22 and 4,479.23

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Solution

The fourth proportional to 11,494.64, 17,231.22 and 4,479.23 is: 6,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.64 : 17,231.22 = 4,479.23 : x
  2. Step 2: Convert to fraction form
    11,494.64/17,231.22 = 4,479.23/x
  3. Step 3: Cross multiply
    11,494.64x = 17,231.22 × 4,479.23
  4. Step 4: Simplify right side
    11,494.64x = 77,182,511.40
  5. Step 5: Solve for x
    x = 77,182,511.40/11,494.64
  6. Step 6: Final answer
    x = 6,714.66

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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.