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Finding the Fourth Proportional to 13,027.82, 17,978.28 and 7,059.32

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Solution

The fourth proportional to 13,027.82, 17,978.28 and 7,059.32 is: 9,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.82 : 17,978.28 = 7,059.32 : x
  2. Step 2: Convert to fraction form
    13,027.82/17,978.28 = 7,059.32/x
  3. Step 3: Cross multiply
    13,027.82x = 17,978.28 × 7,059.32
  4. Step 4: Simplify right side
    13,027.82x = 126,914,431.57
  5. Step 5: Solve for x
    x = 126,914,431.57/13,027.82
  6. Step 6: Final answer
    x = 9,741.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.