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Finding the Fourth Proportional to 11,563.60, 17,321.10 and 9,619.60

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Solution

The fourth proportional to 11,563.60, 17,321.10 and 9,619.60 is: 14,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.60 : 17,321.10 = 9,619.60 : x
  2. Step 2: Convert to fraction form
    11,563.60/17,321.10 = 9,619.60/x
  3. Step 3: Cross multiply
    11,563.60x = 17,321.10 × 9,619.60
  4. Step 4: Simplify right side
    11,563.60x = 166,622,053.56
  5. Step 5: Solve for x
    x = 166,622,053.56/11,563.60
  6. Step 6: Final answer
    x = 14,409.19

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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.