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Finding the Fourth Proportional to 25,850.34, 38,773.97 and 9,209.49

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Solution

The fourth proportional to 25,850.34, 38,773.97 and 9,209.49 is: 13,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.34 : 38,773.97 = 9,209.49 : x
  2. Step 2: Convert to fraction form
    25,850.34/38,773.97 = 9,209.49/x
  3. Step 3: Cross multiply
    25,850.34x = 38,773.97 × 9,209.49
  4. Step 4: Simplify right side
    25,850.34x = 357,088,555.28
  5. Step 5: Solve for x
    x = 357,088,555.28/25,850.34
  6. Step 6: Final answer
    x = 13,813.69

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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.