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Finding the Fourth Proportional to 30,524.76, 45,794.25 and 9,463.70

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Solution

The fourth proportional to 30,524.76, 45,794.25 and 9,463.70 is: 14,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.76 : 45,794.25 = 9,463.70 : x
  2. Step 2: Convert to fraction form
    30,524.76/45,794.25 = 9,463.70/x
  3. Step 3: Cross multiply
    30,524.76x = 45,794.25 × 9,463.70
  4. Step 4: Simplify right side
    30,524.76x = 433,383,158.21
  5. Step 5: Solve for x
    x = 433,383,158.21/30,524.76
  6. Step 6: Final answer
    x = 14,197.76

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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.