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Finding the Fourth Proportional to 23,894.28, 35,843.64 and 9,099.12

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Solution

The fourth proportional to 23,894.28, 35,843.64 and 9,099.12 is: 13,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.28 : 35,843.64 = 9,099.12 : x
  2. Step 2: Convert to fraction form
    23,894.28/35,843.64 = 9,099.12/x
  3. Step 3: Cross multiply
    23,894.28x = 35,843.64 × 9,099.12
  4. Step 4: Simplify right side
    23,894.28x = 326,145,581.60
  5. Step 5: Solve for x
    x = 326,145,581.60/23,894.28
  6. Step 6: Final answer
    x = 13,649.53

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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.