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Finding the Fourth Proportional to 12,596.75, 17,383.62 and 7,007.75

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Solution

The fourth proportional to 12,596.75, 17,383.62 and 7,007.75 is: 9,670.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.75 : 17,383.62 = 7,007.75 : x
  2. Step 2: Convert to fraction form
    12,596.75/17,383.62 = 7,007.75/x
  3. Step 3: Cross multiply
    12,596.75x = 17,383.62 × 7,007.75
  4. Step 4: Simplify right side
    12,596.75x = 121,820,063.06
  5. Step 5: Solve for x
    x = 121,820,063.06/12,596.75
  6. Step 6: Final answer
    x = 9,670.75

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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.