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Finding the Fourth Proportional to 31,797.28, 47,696.28 and 9,610.84

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Solution

The fourth proportional to 31,797.28, 47,696.28 and 9,610.84 is: 14,416.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.28 : 47,696.28 = 9,610.84 : x
  2. Step 2: Convert to fraction form
    31,797.28/47,696.28 = 9,610.84/x
  3. Step 3: Cross multiply
    31,797.28x = 47,696.28 × 9,610.84
  4. Step 4: Simplify right side
    31,797.28x = 458,401,315.68
  5. Step 5: Solve for x
    x = 458,401,315.68/31,797.28
  6. Step 6: Final answer
    x = 14,416.37

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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.