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Finding the Fourth Proportional to 7,760.66, 10,709.39 and 4,223.88

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Solution

The fourth proportional to 7,760.66, 10,709.39 and 4,223.88 is: 5,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.66 : 10,709.39 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    7,760.66/10,709.39 = 4,223.88/x
  3. Step 3: Cross multiply
    7,760.66x = 10,709.39 × 4,223.88
  4. Step 4: Simplify right side
    7,760.66x = 45,235,157.11
  5. Step 5: Solve for x
    x = 45,235,157.11/7,760.66
  6. Step 6: Final answer
    x = 5,828.78

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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.