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Finding the Fourth Proportional to 12,693.64, 17,517.26 and 7,104.64

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Solution

The fourth proportional to 12,693.64, 17,517.26 and 7,104.64 is: 9,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.64 : 17,517.26 = 7,104.64 : x
  2. Step 2: Convert to fraction form
    12,693.64/17,517.26 = 7,104.64/x
  3. Step 3: Cross multiply
    12,693.64x = 17,517.26 × 7,104.64
  4. Step 4: Simplify right side
    12,693.64x = 124,453,826.09
  5. Step 5: Solve for x
    x = 124,453,826.09/12,693.64
  6. Step 6: Final answer
    x = 9,804.42

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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.