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Finding the Fourth Proportional to 25,469.57, 38,210.97 and 9,674.88

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Solution

The fourth proportional to 25,469.57, 38,210.97 and 9,674.88 is: 14,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469.57 : 38,210.97 = 9,674.88 : x
  2. Step 2: Convert to fraction form
    25,469.57/38,210.97 = 9,674.88/x
  3. Step 3: Cross multiply
    25,469.57x = 38,210.97 × 9,674.88
  4. Step 4: Simplify right side
    25,469.57x = 369,686,549.43
  5. Step 5: Solve for x
    x = 369,686,549.43/25,469.57
  6. Step 6: Final answer
    x = 14,514.84

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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.