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Finding the Fourth Proportional to 12,299.58, 18,467.95 and 9,827.06

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Solution

The fourth proportional to 12,299.58, 18,467.95 and 9,827.06 is: 14,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.58 : 18,467.95 = 9,827.06 : x
  2. Step 2: Convert to fraction form
    12,299.58/18,467.95 = 9,827.06/x
  3. Step 3: Cross multiply
    12,299.58x = 18,467.95 × 9,827.06
  4. Step 4: Simplify right side
    12,299.58x = 181,485,652.73
  5. Step 5: Solve for x
    x = 181,485,652.73/12,299.58
  6. Step 6: Final answer
    x = 14,755.43

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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.