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Finding the Fourth Proportional to 12,396.90, 17,107.70 and 6,807.90

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Solution

The fourth proportional to 12,396.90, 17,107.70 and 6,807.90 is: 9,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.90 : 17,107.70 = 6,807.90 : x
  2. Step 2: Convert to fraction form
    12,396.90/17,107.70 = 6,807.90/x
  3. Step 3: Cross multiply
    12,396.90x = 17,107.70 × 6,807.90
  4. Step 4: Simplify right side
    12,396.90x = 116,467,527.85
  5. Step 5: Solve for x
    x = 116,467,527.85/12,396.90
  6. Step 6: Final answer
    x = 9,394.89

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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.