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Finding the Fourth Proportional to 12,998.91, 19,503.24 and 9,739.47

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Solution

The fourth proportional to 12,998.91, 19,503.24 and 9,739.47 is: 14,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.91 : 19,503.24 = 9,739.47 : x
  2. Step 2: Convert to fraction form
    12,998.91/19,503.24 = 9,739.47/x
  3. Step 3: Cross multiply
    12,998.91x = 19,503.24 × 9,739.47
  4. Step 4: Simplify right side
    12,998.91x = 189,951,220.88
  5. Step 5: Solve for x
    x = 189,951,220.88/12,998.91
  6. Step 6: Final answer
    x = 14,612.86

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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.