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Finding the Fourth Proportional to 6,893.84, 9,516.84 and 6,451.76

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Solution

The fourth proportional to 6,893.84, 9,516.84 and 6,451.76 is: 8,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.84 : 9,516.84 = 6,451.76 : x
  2. Step 2: Convert to fraction form
    6,893.84/9,516.84 = 6,451.76/x
  3. Step 3: Cross multiply
    6,893.84x = 9,516.84 × 6,451.76
  4. Step 4: Simplify right side
    6,893.84x = 61,400,367.64
  5. Step 5: Solve for x
    x = 61,400,367.64/6,893.84
  6. Step 6: Final answer
    x = 8,906.56

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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.