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Finding the Fourth Proportional to 12,596.82, 17,380.08 and 7,291.32

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Solution

The fourth proportional to 12,596.82, 17,380.08 and 7,291.32 is: 10,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.82 : 17,380.08 = 7,291.32 : x
  2. Step 2: Convert to fraction form
    12,596.82/17,380.08 = 7,291.32/x
  3. Step 3: Cross multiply
    12,596.82x = 17,380.08 × 7,291.32
  4. Step 4: Simplify right side
    12,596.82x = 126,723,724.91
  5. Step 5: Solve for x
    x = 126,723,724.91/12,596.82
  6. Step 6: Final answer
    x = 10,059.98

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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.