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Finding the Fourth Proportional to 31,846.84, 47,770.37 and 9,660.40

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Solution

The fourth proportional to 31,846.84, 47,770.37 and 9,660.40 is: 14,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.84 : 47,770.37 = 9,660.40 : x
  2. Step 2: Convert to fraction form
    31,846.84/47,770.37 = 9,660.40/x
  3. Step 3: Cross multiply
    31,846.84x = 47,770.37 × 9,660.40
  4. Step 4: Simplify right side
    31,846.84x = 461,480,834.05
  5. Step 5: Solve for x
    x = 461,480,834.05/31,846.84
  6. Step 6: Final answer
    x = 14,490.63

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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.