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Finding the Fourth Proportional to 16,535.97, 24,806.00 and 6,674.65

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Solution

The fourth proportional to 16,535.97, 24,806.00 and 6,674.65 is: 10,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,535.97 : 24,806.00 = 6,674.65 : x
  2. Step 2: Convert to fraction form
    16,535.97/24,806.00 = 6,674.65/x
  3. Step 3: Cross multiply
    16,535.97x = 24,806.00 × 6,674.65
  4. Step 4: Simplify right side
    16,535.97x = 165,571,322.57
  5. Step 5: Solve for x
    x = 165,571,322.57/16,535.97
  6. Step 6: Final answer
    x = 10,012.80

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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.