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Finding the Fourth Proportional to 9,605.33, 13,257.86 and 6,257.33

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Solution

The fourth proportional to 9,605.33, 13,257.86 and 6,257.33 is: 8,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.33 : 13,257.86 = 6,257.33 : x
  2. Step 2: Convert to fraction form
    9,605.33/13,257.86 = 6,257.33/x
  3. Step 3: Cross multiply
    9,605.33x = 13,257.86 × 6,257.33
  4. Step 4: Simplify right side
    9,605.33x = 82,958,707.54
  5. Step 5: Solve for x
    x = 82,958,707.54/9,605.33
  6. Step 6: Final answer
    x = 8,636.74

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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.