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Finding the Fourth Proportional to 11,103.60, 16,593.99 and 9,947.22

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Solution

The fourth proportional to 11,103.60, 16,593.99 and 9,947.22 is: 14,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.60 : 16,593.99 = 9,947.22 : x
  2. Step 2: Convert to fraction form
    11,103.60/16,593.99 = 9,947.22/x
  3. Step 3: Cross multiply
    11,103.60x = 16,593.99 × 9,947.22
  4. Step 4: Simplify right side
    11,103.60x = 165,064,069.21
  5. Step 5: Solve for x
    x = 165,064,069.21/11,103.60
  6. Step 6: Final answer
    x = 14,865.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.