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Finding the Fourth Proportional to 16,598.56, 22,906.08 and 9,146.56

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Solution

The fourth proportional to 16,598.56, 22,906.08 and 9,146.56 is: 12,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.56 : 22,906.08 = 9,146.56 : x
  2. Step 2: Convert to fraction form
    16,598.56/22,906.08 = 9,146.56/x
  3. Step 3: Cross multiply
    16,598.56x = 22,906.08 × 9,146.56
  4. Step 4: Simplify right side
    16,598.56x = 209,511,835.08
  5. Step 5: Solve for x
    x = 209,511,835.08/16,598.56
  6. Step 6: Final answer
    x = 12,622.29

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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.