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Finding the Fourth Proportional to 7,732.92, 10,683.02 and 5,383.16

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Solution

The fourth proportional to 7,732.92, 10,683.02 and 5,383.16 is: 7,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.92 : 10,683.02 = 5,383.16 : x
  2. Step 2: Convert to fraction form
    7,732.92/10,683.02 = 5,383.16/x
  3. Step 3: Cross multiply
    7,732.92x = 10,683.02 × 5,383.16
  4. Step 4: Simplify right side
    7,732.92x = 57,508,405.94
  5. Step 5: Solve for x
    x = 57,508,405.94/7,732.92
  6. Step 6: Final answer
    x = 7,436.83

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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.