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Finding the Fourth Proportional to 9,675.78, 14,512.86 and 3,100.20

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Solution

The fourth proportional to 9,675.78, 14,512.86 and 3,100.20 is: 4,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.78 : 14,512.86 = 3,100.20 : x
  2. Step 2: Convert to fraction form
    9,675.78/14,512.86 = 3,100.20/x
  3. Step 3: Cross multiply
    9,675.78x = 14,512.86 × 3,100.20
  4. Step 4: Simplify right side
    9,675.78x = 44,992,768.57
  5. Step 5: Solve for x
    x = 44,992,768.57/9,675.78
  6. Step 6: Final answer
    x = 4,650.04

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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.