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Finding the Fourth Proportional to 23,858.10, 35,793.63 and 7,217.46

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Solution

The fourth proportional to 23,858.10, 35,793.63 and 7,217.46 is: 10,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.10 : 35,793.63 = 7,217.46 : x
  2. Step 2: Convert to fraction form
    23,858.10/35,793.63 = 7,217.46/x
  3. Step 3: Cross multiply
    23,858.10x = 35,793.63 × 7,217.46
  4. Step 4: Simplify right side
    23,858.10x = 258,339,092.78
  5. Step 5: Solve for x
    x = 258,339,092.78/23,858.10
  6. Step 6: Final answer
    x = 10,828.15

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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.