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Finding the Fourth Proportional to 11,584.74, 17,404.80 and 7,432.92

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Solution

The fourth proportional to 11,584.74, 17,404.80 and 7,432.92 is: 11,167.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.74 : 17,404.80 = 7,432.92 : x
  2. Step 2: Convert to fraction form
    11,584.74/17,404.80 = 7,432.92/x
  3. Step 3: Cross multiply
    11,584.74x = 17,404.80 × 7,432.92
  4. Step 4: Simplify right side
    11,584.74x = 129,368,486.02
  5. Step 5: Solve for x
    x = 129,368,486.02/11,584.74
  6. Step 6: Final answer
    x = 11,167.15

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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.