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Finding the Fourth Proportional to 9,998.94, 13,793.90 and 6,463.28

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Solution

The fourth proportional to 9,998.94, 13,793.90 and 6,463.28 is: 8,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,998.94 : 13,793.90 = 6,463.28 : x
  2. Step 2: Convert to fraction form
    9,998.94/13,793.90 = 6,463.28/x
  3. Step 3: Cross multiply
    9,998.94x = 13,793.90 × 6,463.28
  4. Step 4: Simplify right side
    9,998.94x = 89,153,837.99
  5. Step 5: Solve for x
    x = 89,153,837.99/9,998.94
  6. Step 6: Final answer
    x = 8,916.33

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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.