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Finding the Fourth Proportional to 6,896.22, 9,516.81 and 3,752.42

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Solution

The fourth proportional to 6,896.22, 9,516.81 and 3,752.42 is: 5,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.22 : 9,516.81 = 3,752.42 : x
  2. Step 2: Convert to fraction form
    6,896.22/9,516.81 = 3,752.42/x
  3. Step 3: Cross multiply
    6,896.22x = 9,516.81 × 3,752.42
  4. Step 4: Simplify right side
    6,896.22x = 35,711,020.60
  5. Step 5: Solve for x
    x = 35,711,020.60/6,896.22
  6. Step 6: Final answer
    x = 5,178.35

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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.