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Finding the Fourth Proportional to 23,886.75, 35,830.44 and 9,096.48

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Solution

The fourth proportional to 23,886.75, 35,830.44 and 9,096.48 is: 13,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.75 : 35,830.44 = 9,096.48 : x
  2. Step 2: Convert to fraction form
    23,886.75/35,830.44 = 9,096.48/x
  3. Step 3: Cross multiply
    23,886.75x = 35,830.44 × 9,096.48
  4. Step 4: Simplify right side
    23,886.75x = 325,930,880.85
  5. Step 5: Solve for x
    x = 325,930,880.85/23,886.75
  6. Step 6: Final answer
    x = 13,644.84

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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.