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Finding the Fourth Proportional to 22,643.14, 33,965.48 and 9,504.74

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Solution

The fourth proportional to 22,643.14, 33,965.48 and 9,504.74 is: 14,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.14 : 33,965.48 = 9,504.74 : x
  2. Step 2: Convert to fraction form
    22,643.14/33,965.48 = 9,504.74/x
  3. Step 3: Cross multiply
    22,643.14x = 33,965.48 × 9,504.74
  4. Step 4: Simplify right side
    22,643.14x = 322,832,896.65
  5. Step 5: Solve for x
    x = 322,832,896.65/22,643.14
  6. Step 6: Final answer
    x = 14,257.43

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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.