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Finding the Fourth Proportional to 11,224.17, 16,830.18 and 9,365.22

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Solution

The fourth proportional to 11,224.17, 16,830.18 and 9,365.22 is: 14,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.17 : 16,830.18 = 9,365.22 : x
  2. Step 2: Convert to fraction form
    11,224.17/16,830.18 = 9,365.22/x
  3. Step 3: Cross multiply
    11,224.17x = 16,830.18 × 9,365.22
  4. Step 4: Simplify right side
    11,224.17x = 157,618,338.34
  5. Step 5: Solve for x
    x = 157,618,338.34/11,224.17
  6. Step 6: Final answer
    x = 14,042.76

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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.