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Finding the Fourth Proportional to 6,807.52, 10,212.24 and 2,423.68

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Solution

The fourth proportional to 6,807.52, 10,212.24 and 2,423.68 is: 3,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.52 : 10,212.24 = 2,423.68 : x
  2. Step 2: Convert to fraction form
    6,807.52/10,212.24 = 2,423.68/x
  3. Step 3: Cross multiply
    6,807.52x = 10,212.24 × 2,423.68
  4. Step 4: Simplify right side
    6,807.52x = 24,751,201.84
  5. Step 5: Solve for x
    x = 24,751,201.84/6,807.52
  6. Step 6: Final answer
    x = 3,635.86

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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.