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Finding the Fourth Proportional to 37,841.41, 56,760 and 11,544.09

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Solution

The fourth proportional to 37,841.41, 56,760 and 11,544.09 is: 17,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841.41 : 56,760 = 11,544.09 : x
  2. Step 2: Convert to fraction form
    37,841.41/56,760 = 11,544.09/x
  3. Step 3: Cross multiply
    37,841.41x = 56,760 × 11,544.09
  4. Step 4: Simplify right side
    37,841.41x = 655,242,548.40
  5. Step 5: Solve for x
    x = 655,242,548.40/37,841.41
  6. Step 6: Final answer
    x = 17,315.49

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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.