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Finding the Fourth Proportional to 22,643.80, 33,965.70 and 9,505.60

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Solution

The fourth proportional to 22,643.80, 33,965.70 and 9,505.60 is: 14,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.80 : 33,965.70 = 9,505.60 : x
  2. Step 2: Convert to fraction form
    22,643.80/33,965.70 = 9,505.60/x
  3. Step 3: Cross multiply
    22,643.80x = 33,965.70 × 9,505.60
  4. Step 4: Simplify right side
    22,643.80x = 322,864,357.92
  5. Step 5: Solve for x
    x = 322,864,357.92/22,643.80
  6. Step 6: Final answer
    x = 14,258.40

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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.