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Finding the Fourth Proportional to 9,751.92, 14,627.88 and 3,512.76

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Solution

The fourth proportional to 9,751.92, 14,627.88 and 3,512.76 is: 5,269.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.92 : 14,627.88 = 3,512.76 : x
  2. Step 2: Convert to fraction form
    9,751.92/14,627.88 = 3,512.76/x
  3. Step 3: Cross multiply
    9,751.92x = 14,627.88 × 3,512.76
  4. Step 4: Simplify right side
    9,751.92x = 51,384,231.75
  5. Step 5: Solve for x
    x = 51,384,231.75/9,751.92
  6. Step 6: Final answer
    x = 5,269.14

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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.