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Finding the Fourth Proportional to 11,599.83, 16,007.31 and 6,294.45

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Solution

The fourth proportional to 11,599.83, 16,007.31 and 6,294.45 is: 8,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.83 : 16,007.31 = 6,294.45 : x
  2. Step 2: Convert to fraction form
    11,599.83/16,007.31 = 6,294.45/x
  3. Step 3: Cross multiply
    11,599.83x = 16,007.31 × 6,294.45
  4. Step 4: Simplify right side
    11,599.83x = 100,757,212.43
  5. Step 5: Solve for x
    x = 100,757,212.43/11,599.83
  6. Step 6: Final answer
    x = 8,686.09

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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.