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Finding the Fourth Proportional to 11,575.44, 17,349.93 and 7,195.86

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Solution

The fourth proportional to 11,575.44, 17,349.93 and 7,195.86 is: 10,785.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.44 : 17,349.93 = 7,195.86 : x
  2. Step 2: Convert to fraction form
    11,575.44/17,349.93 = 7,195.86/x
  3. Step 3: Cross multiply
    11,575.44x = 17,349.93 × 7,195.86
  4. Step 4: Simplify right side
    11,575.44x = 124,847,667.29
  5. Step 5: Solve for x
    x = 124,847,667.29/11,575.44
  6. Step 6: Final answer
    x = 10,785.57

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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.