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Finding the Fourth Proportional to 11,210.80, 16,816.20 and 9,825.70

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Solution

The fourth proportional to 11,210.80, 16,816.20 and 9,825.70 is: 14,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.80 : 16,816.20 = 9,825.70 : x
  2. Step 2: Convert to fraction form
    11,210.80/16,816.20 = 9,825.70/x
  3. Step 3: Cross multiply
    11,210.80x = 16,816.20 × 9,825.70
  4. Step 4: Simplify right side
    11,210.80x = 165,230,936.34
  5. Step 5: Solve for x
    x = 165,230,936.34/11,210.80
  6. Step 6: Final answer
    x = 14,738.55

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Similar ratio
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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.