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Finding the Fourth Proportional to 25,914.48, 38,879.84 and 9,274.12

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Solution

The fourth proportional to 25,914.48, 38,879.84 and 9,274.12 is: 13,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.48 : 38,879.84 = 9,274.12 : x
  2. Step 2: Convert to fraction form
    25,914.48/38,879.84 = 9,274.12/x
  3. Step 3: Cross multiply
    25,914.48x = 38,879.84 × 9,274.12
  4. Step 4: Simplify right side
    25,914.48x = 360,576,301.74
  5. Step 5: Solve for x
    x = 360,576,301.74/25,914.48
  6. Step 6: Final answer
    x = 13,914.09

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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.