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Finding the Fourth Proportional to 10,993.86, 16,497.54 and 9,167.58

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Solution

The fourth proportional to 10,993.86, 16,497.54 and 9,167.58 is: 13,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.86 : 16,497.54 = 9,167.58 : x
  2. Step 2: Convert to fraction form
    10,993.86/16,497.54 = 9,167.58/x
  3. Step 3: Cross multiply
    10,993.86x = 16,497.54 × 9,167.58
  4. Step 4: Simplify right side
    10,993.86x = 151,242,517.75
  5. Step 5: Solve for x
    x = 151,242,517.75/10,993.86
  6. Step 6: Final answer
    x = 13,757.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.