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Finding the Fourth Proportional to 6,683.34, 9,206.92 and 5,621.12

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Solution

The fourth proportional to 6,683.34, 9,206.92 and 5,621.12 is: 7,743.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.34 : 9,206.92 = 5,621.12 : x
  2. Step 2: Convert to fraction form
    6,683.34/9,206.92 = 5,621.12/x
  3. Step 3: Cross multiply
    6,683.34x = 9,206.92 × 5,621.12
  4. Step 4: Simplify right side
    6,683.34x = 51,753,191.94
  5. Step 5: Solve for x
    x = 51,753,191.94/6,683.34
  6. Step 6: Final answer
    x = 7,743.62

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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.