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Finding the Fourth Proportional to 16,149.00, 24,213.09 and 7,710.94

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Solution

The fourth proportional to 16,149.00, 24,213.09 and 7,710.94 is: 11,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.00 : 24,213.09 = 7,710.94 : x
  2. Step 2: Convert to fraction form
    16,149.00/24,213.09 = 7,710.94/x
  3. Step 3: Cross multiply
    16,149.00x = 24,213.09 × 7,710.94
  4. Step 4: Simplify right side
    16,149.00x = 186,705,678.33
  5. Step 5: Solve for x
    x = 186,705,678.33/16,149.00
  6. Step 6: Final answer
    x = 11,561.44

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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.