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Finding the Fourth Proportional to 6,576.32, 9,867.18 and 5,338.82

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Solution

The fourth proportional to 6,576.32, 9,867.18 and 5,338.82 is: 8,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.32 : 9,867.18 = 5,338.82 : x
  2. Step 2: Convert to fraction form
    6,576.32/9,867.18 = 5,338.82/x
  3. Step 3: Cross multiply
    6,576.32x = 9,867.18 × 5,338.82
  4. Step 4: Simplify right side
    6,576.32x = 52,679,097.93
  5. Step 5: Solve for x
    x = 52,679,097.93/6,576.32
  6. Step 6: Final answer
    x = 8,010.42

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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.