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Finding the Fourth Proportional to 16,535.86, 24,770.99 and 7,744.12

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Solution

The fourth proportional to 16,535.86, 24,770.99 and 7,744.12 is: 11,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.86 : 24,770.99 = 7,744.12 : x
  2. Step 2: Convert to fraction form
    16,535.86/24,770.99 = 7,744.12/x
  3. Step 3: Cross multiply
    16,535.86x = 24,770.99 × 7,744.12
  4. Step 4: Simplify right side
    16,535.86x = 191,829,480.36
  5. Step 5: Solve for x
    x = 191,829,480.36/16,535.86
  6. Step 6: Final answer
    x = 11,600.82

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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.