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Finding the Fourth Proportional to 12,534.90, 17,293.91 and 7,229.58

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Solution

The fourth proportional to 12,534.90, 17,293.91 and 7,229.58 is: 9,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.90 : 17,293.91 = 7,229.58 : x
  2. Step 2: Convert to fraction form
    12,534.90/17,293.91 = 7,229.58/x
  3. Step 3: Cross multiply
    12,534.90x = 17,293.91 × 7,229.58
  4. Step 4: Simplify right side
    12,534.90x = 125,027,705.86
  5. Step 5: Solve for x
    x = 125,027,705.86/12,534.90
  6. Step 6: Final answer
    x = 9,974.37

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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.