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Finding the Fourth Proportional to 14,584.22, 21,878.09 and 7,182.44

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Solution

The fourth proportional to 14,584.22, 21,878.09 and 7,182.44 is: 10,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.22 : 21,878.09 = 7,182.44 : x
  2. Step 2: Convert to fraction form
    14,584.22/21,878.09 = 7,182.44/x
  3. Step 3: Cross multiply
    14,584.22x = 21,878.09 × 7,182.44
  4. Step 4: Simplify right side
    14,584.22x = 157,138,032.83
  5. Step 5: Solve for x
    x = 157,138,032.83/14,584.22
  6. Step 6: Final answer
    x = 10,774.52

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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.