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Finding the Fourth Proportional to 11,282.18, 16,893.99 and 7,782.98

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Solution

The fourth proportional to 11,282.18, 16,893.99 and 7,782.98 is: 11,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282.18 : 16,893.99 = 7,782.98 : x
  2. Step 2: Convert to fraction form
    11,282.18/16,893.99 = 7,782.98/x
  3. Step 3: Cross multiply
    11,282.18x = 16,893.99 × 7,782.98
  4. Step 4: Simplify right side
    11,282.18x = 131,485,586.29
  5. Step 5: Solve for x
    x = 131,485,586.29/11,282.18
  6. Step 6: Final answer
    x = 11,654.27

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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.