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Finding the Fourth Proportional to 12,598.27, 18,872.74 and 9,662.20

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Solution

The fourth proportional to 12,598.27, 18,872.74 and 9,662.20 is: 14,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.27 : 18,872.74 = 9,662.20 : x
  2. Step 2: Convert to fraction form
    12,598.27/18,872.74 = 9,662.20/x
  3. Step 3: Cross multiply
    12,598.27x = 18,872.74 × 9,662.20
  4. Step 4: Simplify right side
    12,598.27x = 182,352,188.43
  5. Step 5: Solve for x
    x = 182,352,188.43/12,598.27
  6. Step 6: Final answer
    x = 14,474.38

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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.