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Finding the Fourth Proportional to 23,858.25, 35,788.62 and 7,217.85

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Solution

The fourth proportional to 23,858.25, 35,788.62 and 7,217.85 is: 10,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.25 : 35,788.62 = 7,217.85 : x
  2. Step 2: Convert to fraction form
    23,858.25/35,788.62 = 7,217.85/x
  3. Step 3: Cross multiply
    23,858.25x = 35,788.62 × 7,217.85
  4. Step 4: Simplify right side
    23,858.25x = 258,316,890.87
  5. Step 5: Solve for x
    x = 258,316,890.87/23,858.25
  6. Step 6: Final answer
    x = 10,827.15

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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.