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Finding the Fourth Proportional to 16,000.94, 24,005.16 and 5,471.06

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Solution

The fourth proportional to 16,000.94, 24,005.16 and 5,471.06 is: 8,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.94 : 24,005.16 = 5,471.06 : x
  2. Step 2: Convert to fraction form
    16,000.94/24,005.16 = 5,471.06/x
  3. Step 3: Cross multiply
    16,000.94x = 24,005.16 × 5,471.06
  4. Step 4: Simplify right side
    16,000.94x = 131,333,550.64
  5. Step 5: Solve for x
    x = 131,333,550.64/16,000.94
  6. Step 6: Final answer
    x = 8,207.86

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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.