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Finding the Fourth Proportional to 16,625.63, 24,943.13 and 6,771.98

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Solution

The fourth proportional to 16,625.63, 24,943.13 and 6,771.98 is: 10,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,625.63 : 24,943.13 = 6,771.98 : x
  2. Step 2: Convert to fraction form
    16,625.63/24,943.13 = 6,771.98/x
  3. Step 3: Cross multiply
    16,625.63x = 24,943.13 × 6,771.98
  4. Step 4: Simplify right side
    16,625.63x = 168,914,218.92
  5. Step 5: Solve for x
    x = 168,914,218.92/16,625.63
  6. Step 6: Final answer
    x = 10,159.87

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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.