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Finding the Fourth Proportional to 23,922.50, 35,883.78 and 7,506.50

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Solution

The fourth proportional to 23,922.50, 35,883.78 and 7,506.50 is: 11,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.50 : 35,883.78 = 7,506.50 : x
  2. Step 2: Convert to fraction form
    23,922.50/35,883.78 = 7,506.50/x
  3. Step 3: Cross multiply
    23,922.50x = 35,883.78 × 7,506.50
  4. Step 4: Simplify right side
    23,922.50x = 269,361,594.57
  5. Step 5: Solve for x
    x = 269,361,594.57/23,922.50
  6. Step 6: Final answer
    x = 11,259.76

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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.