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Finding the Fourth Proportional to 10,813.64, 16,221.10 and 3,022.45

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Solution

The fourth proportional to 10,813.64, 16,221.10 and 3,022.45 is: 4,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.64 : 16,221.10 = 3,022.45 : x
  2. Step 2: Convert to fraction form
    10,813.64/16,221.10 = 3,022.45/x
  3. Step 3: Cross multiply
    10,813.64x = 16,221.10 × 3,022.45
  4. Step 4: Simplify right side
    10,813.64x = 49,027,463.70
  5. Step 5: Solve for x
    x = 49,027,463.70/10,813.64
  6. Step 6: Final answer
    x = 4,533.85

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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.