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Finding the Fourth Proportional to 7,800.76, 11,704.78 and 4,516.62

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Solution

The fourth proportional to 7,800.76, 11,704.78 and 4,516.62 is: 6,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.76 : 11,704.78 = 4,516.62 : x
  2. Step 2: Convert to fraction form
    7,800.76/11,704.78 = 4,516.62/x
  3. Step 3: Cross multiply
    7,800.76x = 11,704.78 × 4,516.62
  4. Step 4: Simplify right side
    7,800.76x = 52,866,043.44
  5. Step 5: Solve for x
    x = 52,866,043.44/7,800.76
  6. Step 6: Final answer
    x = 6,777.04

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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.