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Finding the Fourth Proportional to 11,563.05, 17,225.07 and 11,214.48

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Solution

The fourth proportional to 11,563.05, 17,225.07 and 11,214.48 is: 16,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.05 : 17,225.07 = 11,214.48 : x
  2. Step 2: Convert to fraction form
    11,563.05/17,225.07 = 11,214.48/x
  3. Step 3: Cross multiply
    11,563.05x = 17,225.07 × 11,214.48
  4. Step 4: Simplify right side
    11,563.05x = 193,170,203.01
  5. Step 5: Solve for x
    x = 193,170,203.01/11,563.05
  6. Step 6: Final answer
    x = 16,705.82

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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.