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Finding the Fourth Proportional to 11,022.60, 16,533.90 and 9,947.40

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Solution

The fourth proportional to 11,022.60, 16,533.90 and 9,947.40 is: 14,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.60 : 16,533.90 = 9,947.40 : x
  2. Step 2: Convert to fraction form
    11,022.60/16,533.90 = 9,947.40/x
  3. Step 3: Cross multiply
    11,022.60x = 16,533.90 × 9,947.40
  4. Step 4: Simplify right side
    11,022.60x = 164,469,316.86
  5. Step 5: Solve for x
    x = 164,469,316.86/11,022.60
  6. Step 6: Final answer
    x = 14,921.10

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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.