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Finding the Fourth Proportional to 11,409.20, 17,113.80 and 11,166.20

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Solution

The fourth proportional to 11,409.20, 17,113.80 and 11,166.20 is: 16,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.20 : 17,113.80 = 11,166.20 : x
  2. Step 2: Convert to fraction form
    11,409.20/17,113.80 = 11,166.20/x
  3. Step 3: Cross multiply
    11,409.20x = 17,113.80 × 11,166.20
  4. Step 4: Simplify right side
    11,409.20x = 191,096,113.56
  5. Step 5: Solve for x
    x = 191,096,113.56/11,409.20
  6. Step 6: Final answer
    x = 16,749.30

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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.