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Finding the Fourth Proportional to 11,097.81, 16,655.32 and 8,293.69

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Solution

The fourth proportional to 11,097.81, 16,655.32 and 8,293.69 is: 12,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.81 : 16,655.32 = 8,293.69 : x
  2. Step 2: Convert to fraction form
    11,097.81/16,655.32 = 8,293.69/x
  3. Step 3: Cross multiply
    11,097.81x = 16,655.32 × 8,293.69
  4. Step 4: Simplify right side
    11,097.81x = 138,134,092.12
  5. Step 5: Solve for x
    x = 138,134,092.12/11,097.81
  6. Step 6: Final answer
    x = 12,446.97

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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.