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Finding the Fourth Proportional to 23,852.64, 35,784.72 and 8,269.92

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Solution

The fourth proportional to 23,852.64, 35,784.72 and 8,269.92 is: 12,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.64 : 35,784.72 = 8,269.92 : x
  2. Step 2: Convert to fraction form
    23,852.64/35,784.72 = 8,269.92/x
  3. Step 3: Cross multiply
    23,852.64x = 35,784.72 × 8,269.92
  4. Step 4: Simplify right side
    23,852.64x = 295,936,771.62
  5. Step 5: Solve for x
    x = 295,936,771.62/23,852.64
  6. Step 6: Final answer
    x = 12,406.88

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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.