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Finding the Fourth Proportional to 16,438.25, 24,624.79 and 7,661.09

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Solution

The fourth proportional to 16,438.25, 24,624.79 and 7,661.09 is: 11,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.25 : 24,624.79 = 7,661.09 : x
  2. Step 2: Convert to fraction form
    16,438.25/24,624.79 = 7,661.09/x
  3. Step 3: Cross multiply
    16,438.25x = 24,624.79 × 7,661.09
  4. Step 4: Simplify right side
    16,438.25x = 188,652,732.42
  5. Step 5: Solve for x
    x = 188,652,732.42/16,438.25
  6. Step 6: Final answer
    x = 11,476.45

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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.