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Finding the Fourth Proportional to 12,998.90, 19,498.90 and 10,822.98

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Solution

The fourth proportional to 12,998.90, 19,498.90 and 10,822.98 is: 16,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.90 : 19,498.90 = 10,822.98 : x
  2. Step 2: Convert to fraction form
    12,998.90/19,498.90 = 10,822.98/x
  3. Step 3: Cross multiply
    12,998.90x = 19,498.90 × 10,822.98
  4. Step 4: Simplify right side
    12,998.90x = 211,036,204.72
  5. Step 5: Solve for x
    x = 211,036,204.72/12,998.90
  6. Step 6: Final answer
    x = 16,234.93

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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.