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Finding the Fourth Proportional to 12,596.85, 17,383.67 and 7,007.85

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Solution

The fourth proportional to 12,596.85, 17,383.67 and 7,007.85 is: 9,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.85 : 17,383.67 = 7,007.85 : x
  2. Step 2: Convert to fraction form
    12,596.85/17,383.67 = 7,007.85/x
  3. Step 3: Cross multiply
    12,596.85x = 17,383.67 × 7,007.85
  4. Step 4: Simplify right side
    12,596.85x = 121,822,029.85
  5. Step 5: Solve for x
    x = 121,822,029.85/12,596.85
  6. Step 6: Final answer
    x = 9,670.84

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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.