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Finding the Fourth Proportional to 25,976.80, 38,969.39 and 9,114.49

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Solution

The fourth proportional to 25,976.80, 38,969.39 and 9,114.49 is: 13,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,976.80 : 38,969.39 = 9,114.49 : x
  2. Step 2: Convert to fraction form
    25,976.80/38,969.39 = 9,114.49/x
  3. Step 3: Cross multiply
    25,976.80x = 38,969.39 × 9,114.49
  4. Step 4: Simplify right side
    25,976.80x = 355,186,115.46
  5. Step 5: Solve for x
    x = 355,186,115.46/25,976.80
  6. Step 6: Final answer
    x = 13,673.21

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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.