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Finding the Fourth Proportional to 10,813.66, 16,220.50 and 3,022.47

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Solution

The fourth proportional to 10,813.66, 16,220.50 and 3,022.47 is: 4,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.66 : 16,220.50 = 3,022.47 : x
  2. Step 2: Convert to fraction form
    10,813.66/16,220.50 = 3,022.47/x
  3. Step 3: Cross multiply
    10,813.66x = 16,220.50 × 3,022.47
  4. Step 4: Simplify right side
    10,813.66x = 49,025,974.64
  5. Step 5: Solve for x
    x = 49,025,974.64/10,813.66
  6. Step 6: Final answer
    x = 4,533.71

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Double scale
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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.