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Finding the Fourth Proportional to 23,822.40, 35,722.05 and 7,179.33

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Solution

The fourth proportional to 23,822.40, 35,722.05 and 7,179.33 is: 10,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.40 : 35,722.05 = 7,179.33 : x
  2. Step 2: Convert to fraction form
    23,822.40/35,722.05 = 7,179.33/x
  3. Step 3: Cross multiply
    23,822.40x = 35,722.05 × 7,179.33
  4. Step 4: Simplify right side
    23,822.40x = 256,460,385.23
  5. Step 5: Solve for x
    x = 256,460,385.23/23,822.40
  6. Step 6: Final answer
    x = 10,765.51

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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.