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Finding the Fourth Proportional to 11,097.81, 16,611.89 and 6,151.55

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Solution

The fourth proportional to 11,097.81, 16,611.89 and 6,151.55 is: 9,208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.81 : 16,611.89 = 6,151.55 : x
  2. Step 2: Convert to fraction form
    11,097.81/16,611.89 = 6,151.55/x
  3. Step 3: Cross multiply
    11,097.81x = 16,611.89 × 6,151.55
  4. Step 4: Simplify right side
    11,097.81x = 102,188,758.11
  5. Step 5: Solve for x
    x = 102,188,758.11/11,097.81
  6. Step 6: Final answer
    x = 9,208.01

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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.