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Finding the Fourth Proportional to 16,500.69, 24,739.65 and 7,738.11

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Solution

The fourth proportional to 16,500.69, 24,739.65 and 7,738.11 is: 11,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.69 : 24,739.65 = 7,738.11 : x
  2. Step 2: Convert to fraction form
    16,500.69/24,739.65 = 7,738.11/x
  3. Step 3: Cross multiply
    16,500.69x = 24,739.65 × 7,738.11
  4. Step 4: Simplify right side
    16,500.69x = 191,438,133.06
  5. Step 5: Solve for x
    x = 191,438,133.06/16,500.69
  6. Step 6: Final answer
    x = 11,601.83

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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.