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Finding the Fourth Proportional to 9,813.67, 13,536.05 and 6,787.44

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Solution

The fourth proportional to 9,813.67, 13,536.05 and 6,787.44 is: 9,361.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.67 : 13,536.05 = 6,787.44 : x
  2. Step 2: Convert to fraction form
    9,813.67/13,536.05 = 6,787.44/x
  3. Step 3: Cross multiply
    9,813.67x = 13,536.05 × 6,787.44
  4. Step 4: Simplify right side
    9,813.67x = 91,875,093.27
  5. Step 5: Solve for x
    x = 91,875,093.27/9,813.67
  6. Step 6: Final answer
    x = 9,361.95

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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.