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Finding the Fourth Proportional to 6,428.92, 9,584.82 and 6,267.33

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Solution

The fourth proportional to 6,428.92, 9,584.82 and 6,267.33 is: 9,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.92 : 9,584.82 = 6,267.33 : x
  2. Step 2: Convert to fraction form
    6,428.92/9,584.82 = 6,267.33/x
  3. Step 3: Cross multiply
    6,428.92x = 9,584.82 × 6,267.33
  4. Step 4: Simplify right side
    6,428.92x = 60,071,229.93
  5. Step 5: Solve for x
    x = 60,071,229.93/6,428.92
  6. Step 6: Final answer
    x = 9,343.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.