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Finding the Fourth Proportional to 6,338.44, 9,507.66 and 6,192.64

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Solution

The fourth proportional to 6,338.44, 9,507.66 and 6,192.64 is: 9,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.44 : 9,507.66 = 6,192.64 : x
  2. Step 2: Convert to fraction form
    6,338.44/9,507.66 = 6,192.64/x
  3. Step 3: Cross multiply
    6,338.44x = 9,507.66 × 6,192.64
  4. Step 4: Simplify right side
    6,338.44x = 58,877,515.62
  5. Step 5: Solve for x
    x = 58,877,515.62/6,338.44
  6. Step 6: Final answer
    x = 9,288.96

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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.