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Finding the Fourth Proportional to 9,605.82, 13,258.54 and 6,257.82

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Solution

The fourth proportional to 9,605.82, 13,258.54 and 6,257.82 is: 8,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.82 : 13,258.54 = 6,257.82 : x
  2. Step 2: Convert to fraction form
    9,605.82/13,258.54 = 6,257.82/x
  3. Step 3: Cross multiply
    9,605.82x = 13,258.54 × 6,257.82
  4. Step 4: Simplify right side
    9,605.82x = 82,969,556.78
  5. Step 5: Solve for x
    x = 82,969,556.78/9,605.82
  6. Step 6: Final answer
    x = 8,637.43

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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.