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Finding the Fourth Proportional to 10,731.22, 14,809.71 and 8,073.88

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Solution

The fourth proportional to 10,731.22, 14,809.71 and 8,073.88 is: 11,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.22 : 14,809.71 = 8,073.88 : x
  2. Step 2: Convert to fraction form
    10,731.22/14,809.71 = 8,073.88/x
  3. Step 3: Cross multiply
    10,731.22x = 14,809.71 × 8,073.88
  4. Step 4: Simplify right side
    10,731.22x = 119,571,821.37
  5. Step 5: Solve for x
    x = 119,571,821.37/10,731.22
  6. Step 6: Final answer
    x = 11,142.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.