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Finding the Fourth Proportional to 22,497.60, 33,745.92 and 6,914.88

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Solution

The fourth proportional to 22,497.60, 33,745.92 and 6,914.88 is: 10,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,497.60 : 33,745.92 = 6,914.88 : x
  2. Step 2: Convert to fraction form
    22,497.60/33,745.92 = 6,914.88/x
  3. Step 3: Cross multiply
    22,497.60x = 33,745.92 × 6,914.88
  4. Step 4: Simplify right side
    22,497.60x = 233,348,987.29
  5. Step 5: Solve for x
    x = 233,348,987.29/22,497.60
  6. Step 6: Final answer
    x = 10,372.17

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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.