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Finding the Fourth Proportional to 16,249, 22,423.68 and 8,797

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Solution

The fourth proportional to 16,249, 22,423.68 and 8,797 is: 12,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249 : 22,423.68 = 8,797 : x
  2. Step 2: Convert to fraction form
    16,249/22,423.68 = 8,797/x
  3. Step 3: Cross multiply
    16,249x = 22,423.68 × 8,797
  4. Step 4: Simplify right side
    16,249x = 197,261,112.96
  5. Step 5: Solve for x
    x = 197,261,112.96/16,249
  6. Step 6: Final answer
    x = 12,139.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.