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Finding the Fourth Proportional to 31,937.22, 47,897.46 and 9,748.22

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Solution

The fourth proportional to 31,937.22, 47,897.46 and 9,748.22 is: 14,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.22 : 47,897.46 = 9,748.22 : x
  2. Step 2: Convert to fraction form
    31,937.22/47,897.46 = 9,748.22/x
  3. Step 3: Cross multiply
    31,937.22x = 47,897.46 × 9,748.22
  4. Step 4: Simplify right side
    31,937.22x = 466,914,738.03
  5. Step 5: Solve for x
    x = 466,914,738.03/31,937.22
  6. Step 6: Final answer
    x = 14,619.77

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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.