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Finding the Fourth Proportional to 6,895.74, 9,516.31 and 3,912.03

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Solution

The fourth proportional to 6,895.74, 9,516.31 and 3,912.03 is: 5,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.74 : 9,516.31 = 3,912.03 : x
  2. Step 2: Convert to fraction form
    6,895.74/9,516.31 = 3,912.03/x
  3. Step 3: Cross multiply
    6,895.74x = 9,516.31 × 3,912.03
  4. Step 4: Simplify right side
    6,895.74x = 37,228,074.98
  5. Step 5: Solve for x
    x = 37,228,074.98/6,895.74
  6. Step 6: Final answer
    x = 5,398.70

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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.