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Finding the Fourth Proportional to 16,610.74, 22,914.70 and 9,894.22

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Solution

The fourth proportional to 16,610.74, 22,914.70 and 9,894.22 is: 13,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,610.74 : 22,914.70 = 9,894.22 : x
  2. Step 2: Convert to fraction form
    16,610.74/22,914.70 = 9,894.22/x
  3. Step 3: Cross multiply
    16,610.74x = 22,914.70 × 9,894.22
  4. Step 4: Simplify right side
    16,610.74x = 226,723,083.03
  5. Step 5: Solve for x
    x = 226,723,083.03/16,610.74
  6. Step 6: Final answer
    x = 13,649.19

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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.