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Finding the Fourth Proportional to 16,546.70, 24,820.00 and 7,185.51

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Solution

The fourth proportional to 16,546.70, 24,820.00 and 7,185.51 is: 10,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.70 : 24,820.00 = 7,185.51 : x
  2. Step 2: Convert to fraction form
    16,546.70/24,820.00 = 7,185.51/x
  3. Step 3: Cross multiply
    16,546.70x = 24,820.00 × 7,185.51
  4. Step 4: Simplify right side
    16,546.70x = 178,344,340.24
  5. Step 5: Solve for x
    x = 178,344,340.24/16,546.70
  6. Step 6: Final answer
    x = 10,778.24

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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.