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Finding the Fourth Proportional to 24,524.84, 36,783.75 and 7,882.68

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Solution

The fourth proportional to 24,524.84, 36,783.75 and 7,882.68 is: 11,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.84 : 36,783.75 = 7,882.68 : x
  2. Step 2: Convert to fraction form
    24,524.84/36,783.75 = 7,882.68/x
  3. Step 3: Cross multiply
    24,524.84x = 36,783.75 × 7,882.68
  4. Step 4: Simplify right side
    24,524.84x = 289,954,530.45
  5. Step 5: Solve for x
    x = 289,954,530.45/24,524.84
  6. Step 6: Final answer
    x = 11,822.89

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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.