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Finding the Fourth Proportional to 25,494.84, 38,229.84 and 7,964.64

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Solution

The fourth proportional to 25,494.84, 38,229.84 and 7,964.64 is: 11,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.84 : 38,229.84 = 7,964.64 : x
  2. Step 2: Convert to fraction form
    25,494.84/38,229.84 = 7,964.64/x
  3. Step 3: Cross multiply
    25,494.84x = 38,229.84 × 7,964.64
  4. Step 4: Simplify right side
    25,494.84x = 304,486,912.86
  5. Step 5: Solve for x
    x = 304,486,912.86/25,494.84
  6. Step 6: Final answer
    x = 11,943.08

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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.