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Finding the Fourth Proportional to 9,735.41, 13,440.99 and 6,383.09

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Solution

The fourth proportional to 9,735.41, 13,440.99 and 6,383.09 is: 8,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.41 : 13,440.99 = 6,383.09 : x
  2. Step 2: Convert to fraction form
    9,735.41/13,440.99 = 6,383.09/x
  3. Step 3: Cross multiply
    9,735.41x = 13,440.99 × 6,383.09
  4. Step 4: Simplify right side
    9,735.41x = 85,794,981.65
  5. Step 5: Solve for x
    x = 85,794,981.65/9,735.41
  6. Step 6: Final answer
    x = 8,812.68

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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.