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Finding the Fourth Proportional to 7,760.70, 10,708.92 and 4,776.48

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Solution

The fourth proportional to 7,760.70, 10,708.92 and 4,776.48 is: 6,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.70 : 10,708.92 = 4,776.48 : x
  2. Step 2: Convert to fraction form
    7,760.70/10,708.92 = 4,776.48/x
  3. Step 3: Cross multiply
    7,760.70x = 10,708.92 × 4,776.48
  4. Step 4: Simplify right side
    7,760.70x = 51,150,942.20
  5. Step 5: Solve for x
    x = 51,150,942.20/7,760.70
  6. Step 6: Final answer
    x = 6,591.02

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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.