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Finding the Fourth Proportional to 16,100.66, 22,227.66 and 9,728.39

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Solution

The fourth proportional to 16,100.66, 22,227.66 and 9,728.39 is: 13,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.66 : 22,227.66 = 9,728.39 : x
  2. Step 2: Convert to fraction form
    16,100.66/22,227.66 = 9,728.39/x
  3. Step 3: Cross multiply
    16,100.66x = 22,227.66 × 9,728.39
  4. Step 4: Simplify right side
    16,100.66x = 216,239,234.13
  5. Step 5: Solve for x
    x = 216,239,234.13/16,100.66
  6. Step 6: Final answer
    x = 13,430.46

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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.