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Finding the Fourth Proportional to 22,622.70, 33,925.92 and 7,827.60

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Solution

The fourth proportional to 22,622.70, 33,925.92 and 7,827.60 is: 11,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.70 : 33,925.92 = 7,827.60 : x
  2. Step 2: Convert to fraction form
    22,622.70/33,925.92 = 7,827.60/x
  3. Step 3: Cross multiply
    22,622.70x = 33,925.92 × 7,827.60
  4. Step 4: Simplify right side
    22,622.70x = 265,558,531.39
  5. Step 5: Solve for x
    x = 265,558,531.39/22,622.70
  6. Step 6: Final answer
    x = 11,738.59

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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.