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Finding the Fourth Proportional to 25,735.49, 38,609.48 and 8,205.30

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Solution

The fourth proportional to 25,735.49, 38,609.48 and 8,205.30 is: 12,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.49 : 38,609.48 = 8,205.30 : x
  2. Step 2: Convert to fraction form
    25,735.49/38,609.48 = 8,205.30/x
  3. Step 3: Cross multiply
    25,735.49x = 38,609.48 × 8,205.30
  4. Step 4: Simplify right side
    25,735.49x = 316,802,325.22
  5. Step 5: Solve for x
    x = 316,802,325.22/25,735.49
  6. Step 6: Final answer
    x = 12,309.94

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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.