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Finding the Fourth Proportional to 25,735.35, 38,605.91 and 8,201.19

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Solution

The fourth proportional to 25,735.35, 38,605.91 and 8,201.19 is: 12,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.35 : 38,605.91 = 8,201.19 : x
  2. Step 2: Convert to fraction form
    25,735.35/38,605.91 = 8,201.19/x
  3. Step 3: Cross multiply
    25,735.35x = 38,605.91 × 8,201.19
  4. Step 4: Simplify right side
    25,735.35x = 316,614,362.03
  5. Step 5: Solve for x
    x = 316,614,362.03/25,735.35
  6. Step 6: Final answer
    x = 12,302.70

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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.