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Finding the Fourth Proportional to 22,624.54, 33,941.22 and 6,830.84

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Solution

The fourth proportional to 22,624.54, 33,941.22 and 6,830.84 is: 10,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.54 : 33,941.22 = 6,830.84 : x
  2. Step 2: Convert to fraction form
    22,624.54/33,941.22 = 6,830.84/x
  3. Step 3: Cross multiply
    22,624.54x = 33,941.22 × 6,830.84
  4. Step 4: Simplify right side
    22,624.54x = 231,847,102.46
  5. Step 5: Solve for x
    x = 231,847,102.46/22,624.54
  6. Step 6: Final answer
    x = 10,247.60

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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.