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Finding the Fourth Proportional to 16,981.84, 25,464.84 and 6,453.82

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Solution

The fourth proportional to 16,981.84, 25,464.84 and 6,453.82 is: 9,677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981.84 : 25,464.84 = 6,453.82 : x
  2. Step 2: Convert to fraction form
    16,981.84/25,464.84 = 6,453.82/x
  3. Step 3: Cross multiply
    16,981.84x = 25,464.84 × 6,453.82
  4. Step 4: Simplify right side
    16,981.84x = 164,345,493.69
  5. Step 5: Solve for x
    x = 164,345,493.69/16,981.84
  6. Step 6: Final answer
    x = 9,677.72

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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.