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Finding the Fourth Proportional to 16,609.78, 24,914.70 and 4,297.78

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Solution

The fourth proportional to 16,609.78, 24,914.70 and 4,297.78 is: 6,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.78 : 24,914.70 = 4,297.78 : x
  2. Step 2: Convert to fraction form
    16,609.78/24,914.70 = 4,297.78/x
  3. Step 3: Cross multiply
    16,609.78x = 24,914.70 × 4,297.78
  4. Step 4: Simplify right side
    16,609.78x = 107,077,899.37
  5. Step 5: Solve for x
    x = 107,077,899.37/16,609.78
  6. Step 6: Final answer
    x = 6,446.68

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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.