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Finding the Fourth Proportional to 9,792.75, 14,689.13 and 2,496.75

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Solution

The fourth proportional to 9,792.75, 14,689.13 and 2,496.75 is: 3,745.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.75 : 14,689.13 = 2,496.75 : x
  2. Step 2: Convert to fraction form
    9,792.75/14,689.13 = 2,496.75/x
  3. Step 3: Cross multiply
    9,792.75x = 14,689.13 × 2,496.75
  4. Step 4: Simplify right side
    9,792.75x = 36,675,072.84
  5. Step 5: Solve for x
    x = 36,675,072.84/9,792.75
  6. Step 6: Final answer
    x = 3,745.13

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.